The former Newcastle United and Crystal Palace striker looks set for a return to football.
The 33-year old has been training with the club with a view to signing a short-term deal, as Kenny Jackett bids to add experience to his front line.
The former England Under-21 international spent the bulk of his career at Newcastle, in a spell spanning 14 years, but left last summer after falling out of favour on Tyneside.
He signed a one-year deal with Turkish side Gaziantep last August but only stayed for four months, citing family reasons as the cause of his early exit.
A return to the Premier League then followed when he reunited with former boss Alan Pardew at Crystal Palace, but he made just four appearances and has been without a club since June.
Molineux now looks set to be his new home, and he is expected to line up for the club’s Under-21 side against Swansea City on Monday.
The reaction from Wolves fans on social media wasn’t exactly overjoyed at the prospect of a striker who has managed just 84 goals in 412 career appearances joining the ranks.
If Ameobi does sign lets hope he has a Iwelumo effect on us and not a Marcus Bent one#wwfc— richard finch (@finchy_84) September 21, 2015
Coady - correct decision...Ameobi - wrong decision in so many ways it borders on the embarrassing— Steve Plant (@wolvesmatchworn) September 21, 2015
In all seriousness, what is the issue with signing Ameobi, if we do? People wanted a centre forward, there you go. #wwfc— Joe Parker (@Joe_Parker26) September 21, 2015
Also, why are we looking at Shola Ameobi. Awful footballer who doesn't fit the recruitment profile— . (@Jacbowsology) September 21, 2015
Terrific news about Ameobi. If Danny B returns and Emeobi signs then this could be a great turning point for the Wolves.— SkiLux (@SimonDJHill) September 21, 2015
79 goals in 14 years is horrendous. Shola Ameobi is a huge step back. Christ sake.— Alex Moore (@Alexxx_Moore) September 21, 2015
Shola Ameobi joins up with Wolves! Why why why? #wwfc— Stuart Richards (@StuRich1991) September 21, 2015
Please tell me Shola Ameobi training with us, with a view to a move is some sort of sick joke by the E&S...— Jay Barnsley (@Jay_Barnsley) September 21, 2015