Most likely it is the fuel pump or to be more exact the check valve in the Fuel Delivery Module (FDM) that is inside the fuel tank. The fuel pump is also inside the FDM.
But before you take the tank down or cut a hole in the floor check the Fuel Pressure Regulator (FPR) by pulling the vacuum hose off and turn the key on and off about three times. If fuel comes out of the nipple on top of the FPR it is bad.
It does not sound like a Fuel Filter problem but a bad injector can also leak fuel from the fuel system while not running.
The FDM is also sometimes called the Fuel Delivery Assembly:

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