Kranjcar played for current Hoops boss Harry Redknapp at both Tottenham Hotspur and Portsmouth, leading to speculation in some circles that he may aim to sign the midfielder for a third time before the transfer window closes.
Jamie has revealed that his father has mulled over a move for Kranjcar, who moved to Dynamo Kiev last summer, but has to make a firm offer as he pursues a loan deal for Spurs youngster Tom Carroll.
Redknapp told Sky Sports News: "[Kranjcar] plays in that number 10 role, he's a very good player that can link the play.
"If you have followed my dad's career, when he was at Portsmouth he had Paul Merson, who was a brilliant signing when they came up from the Championship to the Premier League, and I think that's what he's hoping Niko Kranjcar can do.
"If you've got footballers in that league that can pass the ball it really does take you a long way. They're two players [Kranjcar and Carroll] that he'd like to bring in just to give them an extra dimension to their play."
The 29-year-old spent six seasons in England in a spell starting with Portsmouth in 2006.