Baggies boss Tony Plis is aiming to secure the Belgian’s signature for a deal worth £5 million before next week’s move deadline, according to The Sun.
Lombaerts is reportedly set to leave Zenit after falling out of favour with coach Mircea Lucescu.
The 6’2″ defender, who played 39 times for Belgium, joined the Russian after 3 years in Ghent.
West Brom is expected to be for defenders following Jonny Evans’ injury.