Lloris has been a mainstay for Spurs since moving to North London in a £11.3m move from Lyon in August 2012 and has gone on to make over 420 appearances for the club.
However, the Evening Standard have reported Spurs have identified Oblak as their ‘primary target’ and have ‘sounded him out’ over a possible move to the Premier League.
Speaking about a possible move to England amid links with Manchester United last summer, Oblak told BBC Radio 5 Live: “The Premier League has strong teams. Maybe the strongest. But I think in the end it is what the coach is asking of you. You listen to his instructions.
““You are one of the 11, so you do what he asks of you. All the players on the pitch are thinking like that. It doesn’t matter if it’s the Premier League, Italian league, Spanish league, wherever you go you need to do what the coach is asking you to do.”
When asked about a possible Premier League move, Oblak said: “I don’t know. I don’t know what the future will bring, but I am sure that in any league I would play I could play well. You never know what will happen in the future.
The Evening Standard report also suggests Atletico would be open to discussing a possible move, despite the fact Oblak still has six years remaining on his current contract.
The La Liga outfit are said to be considering a move for Aston Villa goalkeeper Emiliano Martinez if Oblak does depart the club.