The multiple Olympic medallist has sought "an urgent ruling" from the Lausanne-based CAS by July 8 – the deadline for South Korea to select their Rio swimming team.
"We decided to respect and accept the ruling the CAS will make over this case," Han Jong-Hee, a board member of the Korean Olympic Committee (KOC), told reporters.
The court was set to notify the KOC of its ruling by 8am GMT on Friday, he added.
"If the ruling approves his participation in the Olympic Games, we will respect the decision and start taking necessary steps," Han said.