With the situation at Arsenal constantly changing, it appears unlikely that an official approach was made by the north London club, who have always insisted that any agreement over Wenger's future will be made on a mutual basis between themselves and their long-serving manager.
Wenger's contract expires at the end of the season and it's unclear whether he will stay at the Emirates.
The Gunners' manager indicated that he will reveal his decision "very soon" but there is no announcement planned in the two-week global break.
The Gunners are now sixth in the Premier League and are in danger of missing out on Champions League football next season.
He said after the 3-1 loss to West Brom: "Don't worry, I know what I will do in my future so you will soon know, very soon".
Tuchel took over at Dortmund in the summer of 2015, replacing the now Liverpool boss Jurgen Klopp.
Troubled Arsenal have dropped to sixth in the Premier League. "In that aspect I continue to be the same but I also understand with experience that I continue to be looked at with different eyes", Mourinho said in an interview conducted by SIC, which has since been transcribed and published in several newspapers".
However, Arsene Wenger has always been one of his favorite targets, and today Mourinho went after him again.
"I started to understand that there are powers that you can not fight against", he added.