The Black Cats secured their Premier League safety with game to spare, having flirted with relegation for the fourth season running, and Allardyce will be keen to put his own stamp on the side he inherited from Dick Advocaat in October.
However, with his squad already exceeding 25 players, many may have to be moved on first.
And the Sunderland boss will begin, it seems, with those who left on loan during the campaign, starting with out of contract strikers Steven Fletcher and Danny Graham.
"We’ll address the (loanees') situation as part of the big summer turnaround," Allardyce told the Chronicle.
"We’ll try to do it as quickly as we possibly can.
"They have been out on loan and we’ll try to get them back out on loan again at the earliest opportunity, if we can’t move them on permanently."
Of those returning to the Stadium of Light this summer, only Sebastian Coates and Adam Matthews are under contract beyond the end of next season.
And failing to offload the remaining six players - Liam Bridcutt, Will Buckley, Emanuele Giaccherini, Jordi Gomez, Charis Mavrias and Santiago Vergini - could see Sunderland lose out financially.
According to the report, Allardyce will draw up a list of possible ins and outs, with incoming chief executive Martin Bain responsible for negotiations.