Wolves Media Officer Azuka Chiemeka confirmed the move, but said the player will only start playing from next weekend.
"Eromoigbe has agreed to join us for an undisclosed fee and he will start playing from next week," Chiemeka told KickOffNigeria.com.
Eromoigbe, a former junior international, was a member of Nigeria's squad to the 2008 African Nations Cup.
In July 2008, he went on trial at Derby County, but manager Paul Jewell passed on offering him a contract.
Eromoigbe played some of his best football with Bulgarian side Levski Sofia, whom he helped win the Bulgarian title in 2005.