Replace it if it's old.
If your fuel pump is old, they do fail and need to be replaced. Replace the filter while you're at it. I have to admit that I don't know if they are supposed to run intermittently or not, but I don't think so. There is a bypass for the fuel so I think it runs continuously. How many miles on the car?
1985 Mercedes 500SL Euro (Gray market)
1995 BMW 520i Euro (Gray market)
1992 BMW 525it Wagon
1994 Honda Del Sol Si