Dzumhur withdrew from the ATP World Tour Masters 1000 event in Miami ten days ago, as back injury sustained during the first-round victory over Christopher Eubanks prevented him from playing the second-round match against Italian Marco Cecchinato.
Mirza Basic dropped another two places in the world rankings, and is now ranked 169th in the world.
Basic lost to veteran Frenchman Nicolas Mahut in the third round of Saint Brieuc challenger on Thursday, one day after surprisingly defeating Serbia’s Viktor Troicki in three sets.
Sunday’s victory in the final of the Miami Open helped Roger Federer return to the No. 4 in the world rankings, behind only Novak Djokovic, Rafael Nadal and Alexander Zverev.
The 37-year-old, 101-time tour-level champion also leads the race for the ATP Finals in London, with 55 points more than Djokovic.