Sunderland could be without four key players for their trip to Everton on Sunday.
The Black Cats' injury problems have seen a number of players sidelined, and Allardyce admits that he wanted more time to work with the squad.
The 60-year-old manager is still trying to implement his style, after inheriting the reins at the Stadium of Light from Dick Advocaat, but having so many players out with fitness issues has been a huge disappointment.
Allardyce did, however, reveal that some of the players on the sidelines could return to the team ahead of schedule.
"We'll know more today, but we have seen improvements in the players," said Allardyce.
"The improvement has been a lot better than what we expected than when the injuries occurred on Sunday.
"There may be a chance that one or two are fit. It doesn't give me as much preparation as I'd like to work with the team.”
Sunderland have the likes of John O’Shea, Ola Toivonen, Younes Kaboul and Fabio Borini all rated as doubts ahead of their trip to Everton.
The Black Cats do go into the match with some momentum behind them though, as they won their first match of the season against derby rivals Newcastle United last weekend.
Everton, meanwhile, have failed to win any of their last three matches in the league and they will be keen to bounce back to ensure that they don’t slip any further down the table.