Nole suffered a tough 6-7 (4), 6-7 (2) defeat to Juan Martin del Potro at the Rio Olympics on Sunday evening.
The Serbian duo won their opening round match 6-2, 6-2 against Croatian combination of Marin Cilic and Marin Draganja.
The top seed opened his Wimbledon title defence campaign with a straight-sets victory over British wildcard James Ward.
Nole began his Roland Garros 2016 campaign on Tuesday, defeating world no.95 Yen-Hsun Lu 6-4, 6-1, 6-1.
The 2010 champions will host 2015 title holders Great Britain in the Davis Cup by BNP Paribas World Group quarter-finals on July 15-17.
Andrey Golubev and Aleksandr Nedovyesov defeated Djokovic and Zimonjic 6-3, 7-6 (3), 7-5 to hand the visitors a 2-1 lead.
Nole headlines Serbia’s team nominations and will be joined in the line-up by Viktor Troicki, Filip Krajinovic and Nenad Zimonjic.
Novak cruised into the second round of the Dubai Duty Free Tennis Championships with a 6-1, 6-2 win over world no.41 Tommy Robredo.
The top seed needed just 70 minutes to routinely beat Joao Souza 6-1, 6-1, 6-1 in their first-round match at the US Open 2015 on Monday.
Defending champion beat German Philipp Kohlschreiber in two hours and two minutes on Monday to reach the second round.