Tomkins has followed Joe Cole in declaring he wants to be around when the Hammers move into their new home in 2016.
He told the Sunday Express: "My contract expires just before it happens but hopefully I will still be around because, just like all the fans, I am looking forward to that occasion.
"This has been my club since I was eight. It's hard to see me ever being anywhere else because I have been here so long, and my family are excited just like I am.
"To see their son potentially playing there makes them very proud. And being a local boy, I will be doubly proud to be there."