The 25-year-old has turned out for the Three Lions on 10 occasions for the Under-21 side, but is yet to receive a call-up to the full squad.
However, having received plaudits for the way that he has defended for the Hammers this term, Tomkins has refused to give up hope of playing for his country.
"I feel like I'm playing well and improving every game. Being picked for England is my ultimate goal. Who knows what would have happened if I had been playing at the start of the season instead of missing the first few games," the London Evening Standard quotes the defender as saying.
"It would be a dream to play for my country one day but just at the moment my entire focus is on West Ham and helping make sure we are still in the Premier League next season."
Tomkins has made 30 appearances for the East Londoners in all competitions this season.