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Mixed martial arts career
Early career
Tybura made his professional debut on November 5, 2011, against Robert Marcok, whom he beat by a rear-naked choke. He won his next five fights on the Polish MMA circuit, most notably defeating the future UFC heavyweight Adam Wieczorek by a unanimous decision. His last fight at the regional level was a third-round TKO of Krystian Kopytowski at Gladiator Arena 4.
M-1 Global
In 2013, Tybura signed with the Russian based M-1 Global promotion. For his promotional debut, Tybura was scheduled to fight Denis Komkin as a Heavyweight Grand Prix alternate bout. He won the fight by TKO, after Komkin retired from the bout at the end of the first round.
Tybura was then scheduled to fight Chaban Ka at M-1 Challenge 41, in a Heavyweight Grand Prix Semifinal. He beat Ka by a first-round TKO.
In his next two fights, Tybura beat Konstantin Gluhov at M-1 Challenge 42 by rear-naked choke and Maro Perak at M-1 Challenge 47 by a third-round TKO.
At M-1 Challenge 50, Tybura fought Damian Grabowski in the M-1 Heavyweight Grand Prix finals.Tybura submitted Grabowski with a north-south choke 88 seconds into the first round, to become the M-1 Heavyweight champion. He was scheduled to make his first title defense against Denis Smoldarev at M-1 Challenge 53. Tybura successfully defended the title with a first-round submission.
After successfully defending his title, Tybura was scheduled to fight the M-1 Light-heavyweight titleholder Stephan Puetz in a super-fight. The super-fight was contested at heavyweight, with neither of the belts being on the line. Tybura came into the fight with a 10 kilogram weight advantage. Despite winning the first two rounds on the judges' scorecards, Tybura suffered a cut in the third round, which forced the ringside doctor to stop the bout. Tybura suffered the first loss of his professional career, as Puetz was awarded the TKO win.
In his last fight with M-1, Tybura was scheduled to defend his title for the second time against the Croatian heavyweight Ante Delija.The fight ended two minutes into the first round, as Delija suffered a leg break, due to a checked leg kick