The 29-year old has recently been training with GKS Katowice in his homeland but financial implications could force the player to look for a move abroad and this has altered the Wanderers to the players availability.
Ryszard Szuster, representing the player told Przeglad Sportowy that an opportunity for Tyrajski to move abroad is too good an opportunity to miss out on.
"GKS Katowice have financial problems and Norbert can't stay here, The Bolton offer is a great opportunity. The Premiership represents a dream for many Polish players and Tyrajski is no different." he said.
Bolton boss Sam Allardyce has been actively searching for another goalkeeper all summer to compete with Jussi Jaaskelainen and Kevin Poole meaning a possible contract for the former Lech Poznan and Widzew Lodz stopper Tyrajski should he be impressive in his period in England.