The Welsh international has impressed at Oakwell.
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.
Ibrox side Glasgow Rangers are due to meet Celtic in the Scottish League Cup later today.
The 20-year-old impressed for West Ham United on Saturday.
Tottenham Hotspur could only draw with Bournemouth on Saturday.
Liverpool are the bookies' favourites to sign Steven Gerrard, with Celtic second on the list.
Liverpool beat West Bromwich Albion 2-1 at Anfield.
The England international again had a poor game in the Premier League.
The German has replaced the Belgian goalkeeper as Liverpool's number one this season.
Paul Dummett appears to have established himself as Newcastle United's first choice left-back.
Newcastle United and Crystal Palace are reportedly keen on Celtic defender Jozo Simunovic.
Arsenal and Middlesbrough played out a goalless draw this weekend.