West Brom have been told by Groclin Dyskobolia to increase their offer for Poland midfielder Radoslaw Majewski.
Albion, however, are not willing to go that high.
West Brom officials are optimistic a deal for the 21-year-old can be reached, but the Polish League Cup winners have warned they are under no pressure to sell.
Tadeusz Fajfer, the Polish club's sporting director, told the Birmingham Mail: "There have been offers from West Bromwich Albion as part of our discussions but we haven't agreed a fee.
"I'm not going to reveal our price but they are still some way from it."