The former Manchester City boss has been linked with the Everton job.
Aston Villa, Blackpool, Charlton Athletic and Newcastle United were all relegated this season.
McAllister was a key recruit before a season filled with silverware at Anfield at the turn of the Millennium.
Everton are still trying to replace Roberto Martinez.
Tottenham midfielder Eric Dier said the game against Chelsea will help them long term.
David Unsworth won 3-0 when he took charge of Everton's last match of the season against Norwich City.
The creators of the Game of Thrones TV series have issued an apology of sorts.
The former Chelsea boss is set to take charge at Manchester United.
Sheffield Wednesday face a selection dilemma ahead of Saturday's play-off final date with Hull City.
The Liverpool and Tottenham Hotspur full-backs are competing for the England right-back spot.
David Pleat has been talking about Tottenham's transfer plans this summer.
The road has been long and winding but Bristol’s seven-year exile from the Premiership is finally over. Never in the club’s long and distinguished history has a home defeat been celebrated so raucously. Had the hosts not held a 15-point cushion from the first leg, the last-quarter tension would probably have dislodged tiles from nearby rooftops.
Despite having been the chief executive of Google for 10 years where he oversaw the launch of Android, and now the executive chairman of Google’s holding company Alphabet, Eric Schmidt uses an iPhone.