Moyes confirmed a bid had been lodged for the ex-Arsenal captain earlier this week.
When asked if he had received any official contact back from Barcelona, Moyes said: "I couldn’t tell you exactly. I’m in contact with the executive vice chairman [Ed Woodward], who has been dealing with it just now.
"I'll hopefully know a little more in the next day or so. It’s the middle of the night back in England right now so I may have a bit more information in the next day or so about how it's going.
"We're trying very hard to make some additions to the squad and hopefully there'll be some good news in the not too distant future."