This was revealed by Gunners’ former striker, Ian Wright, who played under Wenger when he arrived in England over 20 years ago.
Speaking to BBC 5 Live, Wright claimed he met with the Frenchman on Thursday night and he told him his time at the Emirates is “coming to the end”.
“I was with the boss last night and if I’m going to be totally honest I think that’s it,” Wright said.
The 67-year-old’s future has been the subject of intense speculation, with his current contract running out at the end of this season.
Juventus coach, Massimiliano Allegri, has emerged as the top favourite to replace Wenger.
Speaking after their 2-0 win over Crotone on Wednesday Allegri insisted that the rumours were all paper talk.
“I won’t deny or confirm anything,” he told Mediaset Premium.
“I am in sync with the club, now we have to focus on winning.
“At this time of the season the media always says I’m leaving, even when things are going really well.”