Speculation about the couple's relationship began to heat up earlier this month after West apparently confessed to falling in love with Kardashian on his track 'Theraflu'.
Jenner, who is married to Kardashian's mother Kris Jenner, has now commented on the rumours at an appearance in Boston, Us Weekly reports.
He said: "I'm not that excited, but we'll see."
Jenner also revealed that he has spoken to Kardashian about the reports, saying: "Kimberly and I have had a conversation about them and their potential relationship."
Kardashian has previously remained coy when questioned about her relationship with West, saying that they "have been friends for years" and adding: "You never know what the future holds or where my life will take me."
Other reports have suggested that West thinks of Kardashian as "his Beyoncé" and that the pair went on vacation to St Lucia together.