The Premier League side are already making plans in case the Spaniard leaves in the near future.
The Mail claims that the Magpies are hopeful that the Spaniard will remain at the club even if they do get relegated, but are still making plans in case the former Liverpool coach activates the release clause in his contract.
Should he leave, the Baggies boss appears set to be one of the names that they would be interested in going after. The Mail reports that Pulis has one year left on his current deal at the Hawthorns and has made no progress when it comes to discussing a new contract.
Although the two clubs could be playing in different divisions next season - with Newcastle's defeat to Southampton keeping them six points adrift of safety with six games to go - it appears that it is the Magpies that have more potential to move further up the Premier League table, while West Brom may not be too far away from their ceiling in their current position of 13th.
The Mail adds that Pulis wants to sit down with the chairman Jeremy Peace and discuss the direction the club is going in, so if he fails to get the answers he wishes to hear from that meeting, he may look at potentially taking a couple of steps back, by taking the Newcastle job, as the best way to make several forward in his managerial career.
And with Pulis' ability to establish sides in the top flight, Newcastle will be confident that they will have a manager capable of getting them back somewhere near the level a club of their size should be.