Rodgers has been linked with a move down south to English Championship side Villa.
McGinn left Hibernian to join Aston Villa in the summer transfer window.
Celtic earned three points in their first Europa League group stage match of the season.
Rangers drew 3-3 with Motherwell on Sunday in the Scottish Premiership.
Celtic midfielder Scott Allan would be a good replacement for John McGinn at Hibernian, says Michael Stewart.
Glasgow Rangers manager Steven Gerrard reportedly wants former Gers striker Kyle Lafferty at Ibrox.
Steven Gerrard’s Glasgow Rangers won against NK Osijek, with Gers striker Alfredo Morelos scoring for the Ibrox club.
Hearts boss Craig Levein has criticised Rodgers after the Celtic boss said he would be "embarrassed" at the state of the Tynecastle pitch.
Celtic inflicted a heavy 4-0 defeat on Rangers in Sunday's Scottish Cup semi-final.
James Forrest has been in exceptional form for Celtic this season.