Sunderland was saved because of its pickups on the January transfer market: Jan Kirchhoff, Lamine Kone and Wahbi Khazri.
"We turned into a team from January onwards," Allardyce said.
Allardyce has emerged as the favorite for the England national team job left vacant by Roy Hodgson's immediate resignation after the loss to Iceland at Euro 2016, but he won't have anything like the January transfer window as a tool to turn around what ails England.
This isn't the first time Allardyce has been a candidate for the England job. He was at Bolton in 2006 when he interviewed to replace Swede Sven-Goran Eriksson. Eriksson's assistant, Steve McClaren, got the job.
In his biography published in 2015, Allardyce says he should have gotten the job in 2006. He put together a PowerPoint presentation but there were no PowerPoint facilities available when the FA interviewed him, and he had to print out hard copies for the interview committee. "So much for the progressive FA," he said.
"I should have got it and," he added, "as I'm a better manager now than I was then, I believe I should be in the running whenever it comes round again. That's not vanity or being full of my own importance. My track record entitles me to be considered."
Track record? Allardyce, who left Sunderland's training camp in Austria to return to England, is the favorite even though his only championship in 25 years of managing in England was a 1998 Third Division championship with Bolton Wanderers.
Big Sam has emerged as the favorite to succeed because there are no other English candidates. Since the EPL began in 1992-93, there have been 24 champions and none was coached by an Englishman.