The Nigerian striker signed for West Brom on July 18 for a fee believed to be in the region of £10million but has been forced to wait in his homeland whilst the visa issues were resolved.
Ideye revealed the news on his official Twitter account saying: "So happy to announce my visa has been issued. Will join the team ASAP."
Head coach Alan Irvine has described Ideye, who put pen to paper on a three-year deal with an option for a fourth season, as "strong, quick and powerful".
Ideye, however, will now have to integrate himself quickly into the squad ahead of their Premier League season-opener at home Sunderland on August 16.