As required by the rules, Banka's nomination will now be submitted to WADA by the end of May for the elections which will take place at the meeting of the WADA Foundation Board in Katowice, Poland in November.
"We appreciate the opportunity to have met with him recently and to discuss the hope for a strong and independent WADA going forward," Tygart said.
"We are excited and ready to get to work with him and those committed to protecting clean sport to achieve the mutual goals of restoring trust to the organisation with athletes and the public, most importantly giving all athletes a true voice in the fight against doping."
Banka has been recommended ahead of Marcos Diaz, a WADA executive committee member from the Dominican Republic.
Diaz wanted to increase the number of representatives from countries he feels have less of a say in decisions than they should.
Meanwhile Banka, who helped Poland win bronze in the 4x400m relay at the 2007 World Championships, would like to establish a solidarity fund for the National Anti-Doping Organisations, in particular for countries where there is no such body.
This is the last time the WADA head will be appointed on the principle of rotation between representatives of sports bodies and governments, with an independent president coming in from the start of the next mandate, in 2022.
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