The normally jocular Ryan was subdued when he repeatedly dismissed questions about the videos as "a personal matter," the New York Daily News reported.
When asked if it was he and his wife of 22 years Michelle in the videos first obtained by Deadspin.com and then posted on YouTube.com, Ryan said, "This is a personal matter, and I won't discuss it."
The newspaper said the four videos show the woman and a cameraman who sounds like Ryan conducting intimate discussions about her feet.
The Jets coach didn't deny it was he and his wife in the videos, but said, "I hope you can respect the fact that I really don't want to discuss it."
Celebrity Families of 2014 [PHOTOS]