Would the purchase still be a good deal, if you increased the purchase price to an amount to cover your buyers' agent as I stated before? I suspect that there is a listing agent or brokerage involved considering the property is in MLS and the purchase price would have to be increased to cover the listing agents' commission.
If the bank officer is saying the property could be purchased directly through him and you can avoid paying commission to a buyers' agent and perhaps even the listing agent. If the bank officer says he will broker the deal and this would make it a great deal, a smoother transaction, go for it!
If that is the case, like others have said, get a real estate attorney to draft a purchase agreement using your state standard contract.
I'm not an attorney, nor is this legal advice.
On a side note:
Bank Holding Company Act (1956) and Omnibus Approprations Act (2009); I believe banks are prohibited from brokering real estate. Any opinions?