The Hammers have yet to make Andy Carroll's loan deal from Liverpool permanent after he impressed last season, while a second striker in Carlton Cole has been allowed to leave. Brooking, who scored 102 goals in 647 appearances for West Ham, also insists a greater goal-scoring threat is needed in midfield.
"Andy Carroll has done well but nobody knows what is going to happen with Andy. Carlton Cole's contract is up, so the attacking area is an issue," he told West Ham TV.
"We also need to get that support from midfield because from the goal-scoring point of view we haven't had a couple of players who have got into double figures, which gives you that opportunity to get the victories."
Brooking has urged joint chairmen David Gold and David Sullivan to give manager Sam Allardyce free rein having given him a new two-year contract earlier this month.
"The Davids have recognised the experience Sam has in this league and it's important this coming year that he does what he wants to do," he said.
"If you look at the track record the two Davids have got, they have been pretty consistent with giving opportunities to managers when they are leading a club.
"Sam led the club to bounce back with promotion and we got the win on the final day of this season to finish 10th."