The in-demand Dons manager did not take training on Wednesday morning and, according to the Press Association, he instead headed for a face-to-face meeting with Milne to discuss his future.
Rangers signalled their intentions to make a move for McInnes weeks ago but it has taken time for the behind-the-scenes work done to come to fruition.
The Ibrox board decided to wait until last week’s doubleheader with Aberdeen was out of the way before making their move.
But the Dons have knocked back their opening approach for the 46-year-old, stating on Tuesday night that “permission has been refused”.
Reports now claim McInnes may have to offer his resignation in order to force through a move to Ibrox, where he served as a player between 1995 and 2000.
Javi Gracia said it was always going to be an uphill battle for Watford after conceding so early against Liverpool on Saturday.
Schalke 04 boss Dominico Tedesco paid tribute to goalkeeper Ralf Fahrmann after his 76th-minute penalty save proved crucial in a 1-0 win over Wolfsburg.
Mattia De Sciglio stunned that Juventus were shocked to be held to a goalless draw with SPAL on Saturday.
Sunderland have suspended midfielder Darron Gibson with immediate effect after he was charged with drink driving.
Jose Mourinho's recent bad frame of mind was still present despite Manchester United beating Brighton 2-0 at Old Trafford on Saturday, a result that puts them into the last four of the FA Cup.
Mohamed Salah continued his astounding goalscoring form on Saturday, hitting four goals as Liverpool thrashed Watford 5-0 at Anfield.