Sunderland are currently four points adrift of safety.
The Black Cats suffered their eighth defeat in 12 league games on Saturday, going down 1-0 at home to Southampton which leaves them four points adrift of safety.
With a measly six points from almost a third of the season gone, Sunderland’s dreadful start has left Allardyce facing an uphill task and bookies' odds of 1/5 to go down reflects their current position.
When asked by reporters of his side’s chances of beating the drop, the former Bolton Wanderers man didn’t beat around the bush when he talked up the challenge ahead.
“No, I haven't, no. We are relegation favourites because we are in the bottom three and getting out of the bottom three is a long haul now,” Allardyce said.
“When you have got fewer points than games, as many fewer points than games as we have got, then we have got a mammoth task just to get out of the trouble we are in at the moment.”
“There's no point in trying to bull**** anybody: it's going to be a long haul to get where we need to get.”
Aside from Sunderland’s poor current points tally, Allardyce faces a number of other problems at Sunderland such as an unbalanced squad, a lack of creativity and an obvious confidence issue.
Even during their only win of the season, a 3-0 triumph over Newcastle United, they were outplayed for large spells and good fortune was on their side that day.
Sunderland’s upcoming fixtures aren’t exactly kind either with trips to Chelsea, Manchester City and Arsenal all coming before the turn of the New Year.