The Black Cats have lost three times in Allardyce's four games in charge.
A narrow loss to West Brom in his opening game was followed by victory in the Tyne-Wear derby, but Sunderland have since failed to build on that win.
Six goals were shipped at Goodison Park last week and a Dusan Tadic penalty in the second half for the Saints made it three defeats in four under Allardyce.
“…I have to get the whole team better than what they are at the moment,” said the former West Ham manager, in quotes published by the Sunderland Echo.
“I’m finding that difficult based on the disruption I’ve faced with the injuries, suspensions and international weeks.
“There can be too much information, which can be as harmful as giving them the information at all. I can’t over-inform them, I’ve got to do it bit by bit, game-by-game, week-by-week.”
The Black Cats have displayed signs of improvement under Allardyce and will count themselves unlucky to have taken just three points from the last 12 available.
Their defeat at the Hawthorns came via a controversial Saido Berahino goal and they showed spirit to fight back against Everton before the Toffees’ in-form frontmen wreaked havoc.
Allardyce tinkered with his set-up for the visit of Southampton and his side looked more compact and stable as a result.
The Saints’ extra quality told in the end however, with their 69th minute spot kick proving the difference, and Allardyce’s latest comments will not do much for the confidence of the Black Cats’ squad ahead of a crucial period.