The Scottish full-back has kept himself ticking over with international outings for his country, but remains frozen out of the first-team picture domestically.
Hutton was able to find regular football during a stint at La Liga outfit Mallorca last season, but failed to secure a permanent move away from Villa Park over the summer.
Another loan switch has now been mooted, with Villa aware of the 28-year-old's desire to get games under his belt.
Lambert admits he will not stand in Hutton's way if a suitable offer is received, but has refused to be drawn on reports suggesting interested parties are being put off by a Premier League wage packet.
He said: "I don't know, you'd probably have to ask the teams that are interested in him.
"It's good for him that he's performing for the national team, I can't influence that, all I can influence is Aston Villa.
"If something comes in, we'll certainly look at it. I spoke to Alan but, at the moment, we've not had anything."