The Lilywhites sealed the £3.5m purchase of the Clarets ace on Friday, taking advantage of the Turf Moor side’s unsuccessful battle against relegation.
And with Trippier a right-back, the Lilywhites are now overstocked in the area, which has led to reports that they’re prepared to offload Walker.
The England international has been linked with Manchester United this year, with Louis van Gaal in need of a right-sided defender.
Walker, 25, has struggled since making his breakthrough at White Hart Lane, with hot and cold performances and injury issues having all but killed off the hype generated when he burst onto the scene.
Trippier’s arrival has also cast doubts over the future of DeAndre Yedlin, who may be pushed further down the pecking order.
The American arrived from MLS side Seattle Sounders on the back of a fine 2014 World Cup over the winter, but featured infrequently over the back end of the 214/15 campaign.