Following the controversy, manager Mauricio Pochettino defended Tottenham from Rose's comments but at the same time, the Argentine manager did not take any drastic action against the defender and he was even reintegrated into the first team immediately after returning from injury.
There was better news on Spurs' other fitness doubts after Harry Kane (knee), Hugo Lloris (groin), Harry Winks (ankle) and Dele Alli (hamstring) all returned to full training on Thursday. "Maybe after Christmas is the expectation".
Alderweireld has not played for Spurs since pulling up against Real Madrid in the Champions League on November 1.
"We expect longer than we previously (thought) when the problem happened", Pochettino said. "We're optimistic but we need to wait to analyse every single case", the Spurs manager said.
"I hope (on Friday) we can count on them for the game but still we need to decide between the medical staff, sport science and us".
Tottenham face Arsenal in the league at Emirates Stadium on Saturday (12:30 GMT) and travel to German side Borussia Dortmund in the Champions League on Tuesday (19:45). He then missed the 1-0 win over Crystal Palace and was assessed over the worldwide break.
The same report says that Mourinho is a long-term admirer of Rose and is keen to try and bring him to Old Trafford.
Whatever the future holds for Shaw, whohas been frozen out of the United first team picture by Mourinho, it appears to be increasingly clear that Rose is being eased out of the Tottenham fold by Pochettino, with his latest snub for what is traditionally the club's biggest game of the season a potential breaking point for all parties.