The 18-year-old has been the subject of significant transfer interest this summer, with clubs looking to sign him both on loan and permanent deals.
Sunderland and Burton Albion have been credited with an interest in taking Jebbison on loan, while Everton have been linked with a £5m move for him.
It then emerged on Sunday that Southampton are competing with Everton for the centre-forward as they look into a permanent deal for him.
However, claims that Ralph Hasenhuttl’s side are looking to sign Jebbison from Sheffield United are wide of the mark.
Southampton have added several teenagers to their squad this summer in the shape of Valentino Livramento, Thierry Small and Dynel Simeu, but Jebbison is not one they are looking to sign.
With the Saints not in the race for Jebbison, Everton appear to have clear run at trying to sign him from Sheffield United.
However, it remains to be seen if Sheffield United are prepared to sanction a permanent move for the highly-rated striker.