Ranked no. 130 in the world, Kubot reached the quarterfinals of 2013 Wimbledon Championships. He beat Igor Andreev in the first round before getting a walkover after second round opponent (and conqueror of Rafael Nadal in the first round) Steve Darcis withdrew through injury. He then beat Benoît Paire and Adrian Mannarino before losing in a historic all-Polish slam quarterfinal against Jerzy Janowicz.