Pressure is mounting on Ole Gunnar Solskjaer ahead of a critical week for the Norwegian, who has overseen United's worst start to a season since 1988/89.
But the London Evening Standard says senior sources insist the 1999 treble-winning hero retains the faith of the hierarchy and will be given significant funds to strengthen his squad over the next two windows.
Woodward has already sacked three managers in the six-and-a-half years since Sir Alex Ferguson's retirement.
But he told United We Stand: "It's not a pleasant experience and I hope that I never have to do it again.
“You know you have to do it so you just get on with it. Once you know you have to do something difficult, then get on and do it. It's not pleasant."