With the Old Lady also looking to offload Aaron Ramsey this month, Allegri will be wary to avoid midfield depth issues of his own.
The Serie A giants are currently slightly better off than Arsenal, though, with Rodrigo Bentancur, Weston McKennie, Adrien Rabiot and Manuel Locatelli to select from.
Arthur would be giving up Champions League football by moving to the Emirates Stadium until the end of the season.
But ahead of Thursday’s trip to Anfield, Arteta insisted Arsenal could still attract the world’s best players whether they’re in European competition or not.