Rodriguez, who began his career at Burnley, is facing relegation with West Bromwich Albion.
Jay Rodriguez is one of several West Bromwich Albion players Premier League clubs are expected to covet this summer, according to the Telegraph.
The Baggies are 10 points adrift of safety with only five games left to play, and appear destined to end their eight-year stay in the top flight.
After 10 goals in 37 games since his £12 million transfer a year ago, interest in Rodriguez would be understandable. But could former club Burnley be among the 28-year-old’s suitors?
The Clarets face a very different future to that of West Brom, after opening up a six-point lead over Leicester City in the race for seventh position – and they’re only five points behind Arsenal in sixth.
Providing Southampton fail to win the FA Cup, Burnley will qualify for next season’s Europa League as long as those below them in the table do not catch up – and with that could come the need to strengthen their squad.
Fringe players Nahki Wells and Jon Walters are among those perhaps in need of upgrading, while Georges-Kevin Nkoudou has done little to warrant a return once his loan spell expires.
And Rodriguez, who can operate as a central or secondary striker and inside forward, could prove a sensible recruit should any or all of those depart.
Given the direction his hometown team are heading, the once-capped England international may not require much persuading to return.
Could Burnley bring the West Bromwich Albion forward back to Turf Moor this summer?
Receive exclusive football transfer news and updates twice a week to your mailbox
