Leeds United are considering a six-figure bid for Greg Stewart as Rangers' interest in the Dundee forward cools, the Evening Telegraph reports.
The Whites are said to have sent scouts to watch the 26-year-old in the final few games of the season.
Stewart, who plays as a winger or secondary striker, is out of contract next summer and could be approached by not Scottish clubs on a free transfer from January 2017.
Dundee are described by the Evening Telegraph as "reluctant sellers", though it is claimed there is a growing acceptance that Stewart will leave before the start of next season.
Rangers have long been linked with the PFA Player of the Year nominee, who is a lifelong Light Blues supporter.
However, the report states that sources close to the player's camp have suggested the interest from Mark Warburton's men has cooled in recent months.
It is claimed that Rangers, who are in talks to sign ex-Premier League pair Joey Barton and Niko Kranjcar after adding Liverpool's Jordan Rossiter last week, are chasing more "high-profile, big-money additions".
Hearts and Aberdeen are also said to have entered the running for Stewart, who scored nine goals and assisted 15 in last season's Scottish Premiership.