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EXHIBIT 99(b)

                               UNITY BANCORP, INC.
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                                          June 12, 2002


Mr. John E. Pellizzari, President
First Bank of Central Jersey
1727 Route 130
North Brunswick, NJ  08902

Dear Mr. Pellizzari:

      In connection with our previous discussions regarding the potential
acquisition of First Bank of Central Jersey ("First Bank") by Unity Bancorp,
Inc. ("Unity"), we wish to set forth an outline and summary of the terms upon
which the proposed acquisition would occur. These terms are as follows:

      o     Acquisition to be undertaken as a stock for stock exchange,
            structured as a tax-free reorganization and pursuant to which First
            Bank will merge with and into Unity's bank subsidiary, Unity Bank,
            with Unity Bank as the surviving entity.

      o     For all outstanding First Bank shares, Unity will exchange 325,000
            shares of Unity common stock, and warrants to purchase 487,500
            shares of Unity common stock with the terms and conditions described
            below. Both the number of shares of Unity common stock and the
            number of warrants to be issued will be subject to adjustment as
            described below. All shares of common stock and warrants will be
            registered under the Securities Act of 1933, as amended.

      o     Of the warrants to be issued, warrants to purchase 325,000 Unity
            shares will have a three-year life and an exercise price equal to
            the greater of 125% of (i) the market value of the Unity common
            stock at consummation of the transaction or (ii) $8.00 per share,
            will not be exercisable for the first year and will not be
            transferable. The remaining warrants to purchase 162,500 shares will
            have a five-year term, will have an exercise price equal to the
            greater of 165% of (i) the market value of the Unity common stock at
            consummation of the transaction or (ii) $8.00 per share, will not be
            exercisable for the first three years and are also not transferable.

      o     To the extent the market price of the Unity common stock, based upon
            the average closing price for the thirty (30) days prior to closing,
            is less that $6.75 per share, the number of shares and warrants will
            be adjusted upward. Similarly, to the extent the market price, as
            determined above, is greater than $8.25 per share, the number of
            shares and warrants will be adjusted downward. Adjustments will be
            made by dividing $2,437,500 by the average price of the Unity common
            stock, and the


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            resulting number will be the number of shares of Unity common stock
            issued in exchange for the First Bank outstanding stock. Upon any
            adjustment, Unity will issue one three-year warrant and one half of
            a five-year warrant for each share of Unity common stock to be
            issued.

      o     From the date of this Letter of Intent through consummation of the
            transaction, First Bank will incur losses in accordance with the
            amended and restated budget previously provided to Unity by First
            Bank, a copy of which is attached with this Letter of Intent as
            Exhibit A. To the extent actual operating results produce losses
            greater than those forecast in the budget, the purchase price will
            be reduced accordingly by reducing the sum of $2,437,500 by the
            aggregate amount of the loss in excess of the budget, and by
            dividing the resulting number by 7.5. This will determine the number
            of shares of Unity common stock to be issued in exchange for the
            First Bank stock, and one three-year warrant and one half of a
            five-year warrant will be issued for each Unity share so issued.

      o     As a closing condition to the transaction, each member of the Board
            of Directors of First Bank and each executive officer of First Bank
            will enter into a lock-up agreement with Unity under which each such
            person will agree that they will not sell the shares of Unity common
            stock they receive in the transaction for a period of twelve (12)
            months without Unity's prior written consent.

      o     In the event First Bank fails to consummate the transaction proposed
            by this Letter of Intent (other than due to the absence of
            regulatory approval of the proposed transaction, the institution of
            a procedure to enjoin the transaction by any governmental or
            regulatory agency or the failure of Unity to meet any closing
            condition included in the definitive acquisition agreement and
            required to be met by Unity) and, within eighteen (18) months of the
            date hereof, First Bank enters into an agreement to consummate a
            merger, consolidation, share purchase or like transaction with any
            other entity, First Bank agrees that it will make it a condition to
            any such transaction that such third party pays to Unity, as an
            expense reimbursement, the amount of reasonable out-of-pocket funds
            actually expended by Unity in connection with this proposed
            transaction, including, but not limited to, Unity's reasonable
            counsel fees, accounting fees, any investment banking fees to be
            incurred by Unity. The expense reimbursement payable to Unity
            pursuant to this paragraph shall be limited to $20,000 in the event
            that Unity and First Bank fail to execute a definitive acquisition
            agreement. In making this agreement, First Bank acknowledges that it
            has and will receive a significant benefit from Unity entering into
            this Letter of Intent with First Bank and seeking to negotiate a
            definitive agreement with First Bank, and that it has therefore
            received a significant benefit in exchange for this agreement to
            reimburse Unity's expenses.

      The parties agree that promptly upon the execution of this Letter of
Intent, they will seek to negotiate a mutually acceptable definitive acquisition
agreement containing representations, warranties, and closing conditions typical
of transactions of this type, including a requirement that consummation of the
transaction will be conditioned upon the parties receipt of all necessary
regulatory approvals and the effectiveness of Unity's registration statement
under the Securities Act of 1933. The parties agree that with the exception of
the preceding paragraph, this Letter of


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Intent shall not constitute a binding agreement to consummate a transaction,
which will only be embodied in the definitive acquisition agreement, and, with
the exception of the proceeding paragraph, shall not otherwise be enforceable.

      Both Unity and First Bank acknowledge that they remain subject to the
terms of that certain confidentiality agreement dated May 20, 2002, which shall
remain in effect until either (i) the parties have entered into a definitive
acquisition agreement or (ii) the confidentiality agreement shall have expired
by its own terms.

      I believe this proposed offer will provide substantial value to First Bank
shareholders while permitting them to participate in the future appreciation of
Unity Bancorp common stock. We look forward to working with you to successfully
consummate this transaction.



                                          Very truly yours,



                                          Unity Bancorp, Inc.
                                          By:

ACKNOWLEDGEMENT:

THE FOLLOWING TERMS ARE ACCEPTED AND AGREED TO BY FIRST BANK OF
CENTRAL JERSEY


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