Pensioner Peter Davies says he created the wolf head design when he was a teenage schoolboy growing up in Wolverhampton nearly 60 years ago.
Mr Davies, a former building industry manager, said he recognised the drawing in 1979 when he noticed that Wolves' new kit bore a wolf head logo.
He has made a copyright complaint and wants damages.
Bosses at the Premier League club dispute his claim.
A judge is analysing the dispute at a High Court trial in London.
The trial is due to end later this week and Mr Justice Nugee is expected to deliver a ruling later in the year.
Mr Davies, 71, says he composed sketches after a teacher asked him to demonstrate an understanding of Blaise Pascal's Hexagrammum Mysticum Theorem and entered his wolf head design in a Wolverhampton art competition in the early 1960s.
He says his design "must have" been copied.
Wolves bosses say the 1979 logo was devised by graphic designer Ian Jackson then "revamped" by designer Jonathan Russell in 2002.
They say there is no reason why either designer would have copied Mr Davies' "alleged design".
Mr Jackson on Monday told the judge: "It is impossible for me to have seen anything."