Iago Aspas is fielding offers from numerous clubs in Italy, Portugal and Germany, but the forward has his heart set on a move to Liverpool.
The Reds are reportedly hoping to tie up a deal for Aspas to head from Celta Vigo to Merseyside as a replacement signing for the likely-outgoing Andy Carroll.
His performances for Celta this season have put him on the radar for a number of European clubs and Liverpool look to face some competition for his signing with a source telling the Daily Mirror that his development in the last campaign has put his name in the spotlight for the summer transfer window.
"Celta have more offers than just the one from Liverpool," they told the paper."There are offers from other Premier League sides, and from Italian and German teams that have qualified for the Champions League.
"They also have a very good offer from Benfica. However, Iago wants to play in England, and his preference is still for Liverpool. I believe this will all be resolved either this week or next."
Aspas would be another piece to Rodgers' attacking puzzle for Liverpool this summer, and the manager has a lot of work to do in this department with Luis Suarez's future far from sure with the club and Daniel Sturridge facing a lengthy lay-off with an ankle injury.
Even if Suarez stays at the club he will need to sit out the first six games due to suspension, meaning attacking purchases will be a top priority for the club in the coming months.
Aspas scored 12 goals in 34 appearances for Celta this season and his contributions assisted the side in finishing just a point clear of the relegation zone.
The 25 year old is believed to have a release clause in his contract of around €10m, making him an affordable option and one who can offer a good balance of experience and potential to be a long-term signing.