The Black Cats have been heavily linked with the signing of Kevin Nolan, in the Sunderland Echo, but Allardyce claims that he is keen to give everyone in his current squad a chance to impress before entering the transfer market.
Although the 60-year-old has not ruled out a bid for Nolan in the future, he claims that no deal is imminent.
"I will assess the squad," he said. "Kevin and me go a long way back, as everyone knows.
"I need to assess the squad and take it from there.
"Nolan is an addition I may look at in the future, I may choose to enter down that line but at the moment it's about giving the players I've got here to give an opportunity to show what they can do."
Allardyce has worked with Nolan previously at Bolton Wanderers, Newcastle United and West Ham United, so he knows the midfielder's talents well.
However, it seems that Sunderland's squad will have an opportunity to convince their new boss that he the 33-year-old free agent is not needed.
To prove to Allardyce that they are capable of t coping without Nolan, Sunderland's performances will have to be greatly improved.
The Wearsiders have been well off the pace so far this season, and they are yet to secure a Premier League success eight games into the 2015/16 campaign.