Following West Ham's pre-season friendly victory over Schalke 04 last week, the Hammers boss conceded that Enner Valencia was not yet fit enough to occupy a place among his starting XI on August 16 and with Andy Carroll missing for up to four months, the 59-year-old admitted he was on the look-out to bring another striker to the club.
Allardyce said; "Yes (I want to sign a new striker). I hope it happens before Tottenham, I'm keeping my fingers crossed. Everyone is trying extremely hard – especially the chairmen."
Allardyce went on to specify that ideally he would like to sign a young striker, however should he fail to find one in time an older head would suffice.
Here are three centre-forwards we could see the Irons go after in the coming weeks;
The Sunderland striker returned from a loan spell in the Championship towards the end of last season to contribute heavily in the Black Cat's last-gasp Premier League survival.
The 21-year-old netted five times in the final 12 games of the season, and with youth on his side, he may fit Allardyce's requirements precisely.
Wickham is yet to tie up a new deal at the Stadium of Light and with only 12 months remaining on his current contract, he could be available for a cut-price.
Gus Poyet admitted earlier this week that should player and club fail to reach an agreement soon, he would be foreced to sell the England under-21 international.
The Costa Rican World Cup sensation has been with the Arsenal squad in Austria during pre-season, but could still be allowed to leave on loan in order to gain vital Premier League experience.
The 22-year-old scored eight times last season whilst on loan at Olympaicos and seems to be maturing into a very able player.
The Hammers have been linked with a possible move for the striker, but time will tell whether or not this deal has any real potential.
Campbell has been impressing Arsene Wenger throughout pre-season so there is still a chance that the Frenchman envisages the youngster to play a part in his plans this term.
After a possible move for Samuel Eto'o reportedly collapsed due to the former Chelsea striker's wage demands, a move for Hugo Almeida may well be on the cards.
The Portuguese international is a free agent after leaving Besiktas and is likely to be interested to a move to the Premier League.
West Ham have been continually linked with a move for the 30-year-old, and he could work out a good alternative to Samuel Eto'o should Allardyce fail to capture a more youthful centre-forward.
The Hammers may have to make a decision soon on the former Porto striker, with Eintracht Frankfurt reportedly ready to offer a contract to the player.
Would you like to see West Ham move for any of the strikers above?