Manchester United boss Louis van Gaal didn't offer his resignation over the weekend, according to Sky Sports sources.
Manchester United have spent £250m ($355m) on players since Van Gaal arrived in 2014 but after the latest defeat they are fifth and five points adrift of a top four Champions League place.
The Potters defeated Manchester United 2-0 in the corresponding fixture at the Britannia Stadium last month.
It is believed that executive vice-chairman Ed Woodward persuaded the Dutchman to stay.
The day after every fixture, United players visit the Carrington training ground for a 45-90 minute run and the same was expected on Sunday (24 Janaury).
United's manager admitted publicly for the first time on Saturday that he had failed the United supporters and it was followed by his offer to resign to Woodward.
"We play against Derby County, a historical team in England; they got great results, especially in the Seventies".
The 64-year-old was subjected to audible discontent among the home crowd as he strode down the tunnel following the 1-0 home defeat to Southampton on Saturday afternoon. A loss to Southampton FC definitely didn't help the rumors surrounding manager Louis Van Gaal getting sacked sometime soon, but his post-match press conference now has us thinking he'll quit his position before getting booted!
The Independent and ESPN had both reported that Mourinho had written a letter to United, outlining his credentials to succeed van Gaal, though Mendes denied this.
"I thank you for your support in the bad times, and I assure you that our only goal is to do things much better to move up the table in the Premier League and try to lift the FA Cup".
Woodward is the man exclusively responsible for Van Gaal's future, and is thought to be keen to avoid the mid-season turmoil that a managerial change would bring. "I can imagine (why) also because I have seen a poor match".
Winds of nearly 50mph to hit Norfolk
We could see temperatures as low as -15C and 120mph winds this weekend as " Storm Gertrude " hits the UK. A yellow warning for ice and snow comes into force from 21:00 GMT on Friday until 15:00 GMT on Saturday.
