Three defeats in eight league matches have led to questions about Mourinho's future at United, but both Lampard and Rooney believe the players need to take some responsibility for their current plight.
The Swedish striker told Swedish betting outlet BetHard: "I think he is the right coach for that club, for that team". The Portuguese has been widely criticised for repeatedly attacking United's board, the lack of business in the last transfer window and regularly rounding on his players as the club have slipped drastically behind rivals Manchester City and Liverpool.
"The manager can do so much but then it is down to the players on the pitch to produce and probably collectively", Rooney added in the Telegraph.
Juan Mata says Manchester United fans do not "deserve everything that is going on" and hopes the last-gasp comeback win against Newcastle gives the team a mental lift.
Paul Pogba, who was recently stripped of captaincy duties by Mourinho for speaking out about United's style of play, said after the 0-0 draw with Valencia in the Champions League on Tuesday: "I've been told I'm not allowed" to talk.
"The directors coming down in the dressing room after we had won European Cup finals, FA Cup finals - we shared the success".
Prince Harry and Meghan touch down in Sydney for Invictus Games
Prince Harry and his wife Meghan are believed to have touched down in Sydney early on a drizzly Sydney morning. The royal couple have 76 engagements across Australia, Fiji, Tonga and New Zealand as part of the tour.
When it was put to the United manager that this kind of run for a club of this size is not acceptable, he said: "Yes, I accept (it is not good enough)".
Manchester United turned to Mourinho in May 2016 after Louis van Gaal steered the Red Devils to a disappointing fifth-placed finish in the 2015-16 season. "Even older players commit mistakes that are not normal".
Jose Mourinho plans to increase the number of starting opportunities for new signing Diogo Dalot after the October worldwide break, according to reports.
"Personally I think he [Van Gaal] set us up brilliantly the way but we didn't produce on the pitch so I am sure that is getting said behind the scenes".
The home side battled from 2-0 down to win 3-2 at Old Trafford and alleviate some of the pressure on manager Jose Mourinho.