The 24-year-old was given extra time off by the Juve boss after representing France at the recently concluded European Championship in France.
And he subsequently spent much of his holiday in the United states, doing very little to dismiss rumours of an imminent return to Old Trafford when asked about rumours of an impending transfer.
However, while several press outlets in England have reported that a move is on the verge of being agreed, it seems the player will not be departing the Old Lady anytime soon.
When asked about United boss Jose Mourinho's reluctance to talk about Pogba, Allegri told reporters: "It's only fair that Mourinho should choose not to talk of Pogba as long as he's a Juventus player.
"I called up Pogba for tomorrow evening, so he'll be in Vinovo for training on Monday.