The Hammers had started the season on fire with a series of impressive wins away at the likes of Arsenal, Manchester City and Liverpool as well as a 2-1 over Chelsea at Upton Park.
They are now winless since that win over their London rivals back in October though, having gone six games without a win, with two defeats and four draws.
That has been a cause of concern to some, but Tomkins insists they are not worried, saying the fact they are drawing and not losing is a big positive.
“We are not worried,” he told London24.
“We have had a lot more draws than defeats in that run. At Old Trafford we had our chances and not many teams go there and do that.
“We are certainly not getting down about it. We have goals in abundance in this team and we still have good attacking options.”
If West Ham are to return to their winning ways, they will have to do so without a number of their key men.
Slaven Bilic’s side have been hit by several injuries to big stars over the last month, with the likes of Dimitri Payet, Manuel Lanzini and Diafra Sakho all having been ruled out.
They then need some of their squad players to step up and take their chance, with hopes firmly resting on the shoulders of players such as Andy Carroll and Michail Antonio.