The Hammers made it through to the third round on Tuesday thanks to a 2-1 win over Cheltenham Town at Upton Park.
"It's nice to have a cup run as well as doing well in the league," Tomkins told the club's official website. "Hopefully we can get another good home draw now and see where it takes us. Obviously it's one game at a time and there are a lot of good teams in the competition."
West Ham resume their Premier League duties on Saturday when they entertain Stoke City.