Sources close to the Reds claim Phil Parkinson is keen on the midfielder, who is currently the longest serving outfield member of the squad, and willing to pay £1.2million to take him to the Championship.
League One rivals Huddersfield Town had recently been linked with the 24-year-old but they are unlikely to match the spending power on offer in North Wales.
Thomason remains happy at Bolton, where he has made 169 appearances in all competitions and scored 13 goals since being plucked from non-league football by Keith Hill in January 2020.
He was handed the captaincy by Ian Evatt last season, taking over from Ricardo Santos, and has remained a first team regular under Steven Schumacher.
This summer’s squad overhaul has brought about some questions about his future, however, with fierce competition developing for the central midfield spots between Josh Sheehan, Aaron Morley and new signing Xavier Simons.
Wanderers had also gone a long way down the line to signing another midfielder, IFK Norrkoping’s Jesper Ceesay, before the move collapsed earlier this month.
Schumacher desperately wants to add strikers to his squad and has been linked with North Macedonian free agent David Toshevski but a potential seven-figure profit on Thomason could open the door for another real difference-maker in the transfer market.
Wrexham – who are currently away on pre-season tour in New Zealand – are known to want two more midfielders this summer as they look to make it an incredible four consecutive promotions on the spin to reach the Premier League.
Their need may also have increased after Ollie Rathbone picked up an injury during the recent friendly defeat to Sydney FC, which required hospital treatment and an X-Ray.
Thomason was tracked by Bristol City a couple of years ago but turned down a £1m move because he wanted to continue his development under Ian Evatt. He may now feel the opportunity of Championship football at Hollywood-funded Wrexham is too good to turn down.