The 28-year-old's future has been the subject of speculation, with recent reports suggesting United will hand the striker a five-and-a-half-year deal worth as much as £300,000 [€365,000] per week.
Rumours are mounting that an official announcement should be expected at some point on Friday afternoon and, speaking ahead of his side's clash with Crystal Palace on Saturday, Moyes appeared optimistic of having some positive news soon.
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"Everyone knows how important a player he is. He is a terrific football player and if we can get it done it will be great."
United have made a lamentable defence of their Premier League crown thus far and sit seventh and 15 points behind leaders Chelsea but after an FA Cup third round exit at home to Swansea, United had a free week allowing Moyes to take the squad on a short break to Dubai.
He said of the mid-season trip: "It was great that we had some time together with the players - the first time I've really had the chance to have a few days with the lads.
"We trained and had some relaxation time as well, so it was good. You hope you get some benefit from it. I'm sure it will benefit the players, having the chance to relax.
"We'd have rather been in the FA Cup, let me tell you that, but we weren't so the next thing we had to do was get them ready for the 12 remaining games."
United return to action in the Saturday evening fixture at Selhurst Park before a trip to Olympiakos in the Champions League on Tuesday and Moyes believes his squad are capable of gaining two positive results.
"We want to win [against Crystal Palace]," Moyes stated. "We have another big game on Tuesday night as well. We play at [17:30GMT] and then again on Tuesday night. That's the way it is but we'll be ready.
"There's a squad here that's always been used to being rotated and used. That's why, lots of times, United have often been strong at the end of the season - they make sure players haven't played every game.
"So when the big games come in the end they have fresh players. We're fortunate with the squad we have here that we’ve been able to do that. We've tried to give everybody an opportunity to show what they can do as well, which is really important when you get a new manager in."