Diarra spent a year on the sidelines after his release by Lokomotiv Moscow in 2014, but has rediscovered his best form since moving to the Velodrome last summer.
And the 31-year-old looks certain to represent France at the European Championships, having earned five caps since the start of the campaign.
French newspaper Le Figaro reported last month, citing France Football, that Manchester United and Spurs were both showing an interest in the former Arsenal and Chelsea player, who is under contract until 2019.
And the pair's hopes could be boosted by the latest report, which states that Diarra would favour a return to the Premier League ahead of a potential switch to Paris Saint-Germain.
PSG are Marseille's fierce rivals, making a direct move to the French capital unlikely anyway. However, given l'OM's current financial plight, they may find the Parisiens' vast riches difficult to turn down.
Spurs were tipped to sign a defensive midfield player last summer, but the emergence of Eric Dier has lessened the need for reinforcements.
However, the north Londoners are likely to require a bigger squad next season if they qualify for the Champions League as expected.