Tony Pulis is closing in on a major transfer coup as the Baggies look to finalise a season-long deal for the 27-year-old.
Krychowiak is expected to fly to England on Wednesday to complete a medical and sign his contract.
The Poland international joined PSG last summer from Sevilla in a deal worth £28m, but has failed to hold down a first team spot under Unai Emery ever since.
According to 'Sky Sports', Krychowiak is keen on a move to the Premier League and West Brom look to have beaten Juventus, Fenerbahce, Lyon and Leicester to his signature.