Byung Ho Park met with the Korean media on Sunday before boarding a flight to Chicago, where he was set to meet up with agent Alan Nero.
Due in the Twin Cities on Monday for a physical and the final stage of negotiations, the 29-year-old slugger was upbeat about his chances of joining the Twins.
"There are some things we need to go over with the club," Park told reporters. "I hope to be able to return with a positive result."
While former Nexen Heroes teammate Jung Ho Kang received a four-year, $11 million guarantee from the Pittsburgh Pirates last offseason, Park is expected to perhaps double or triple that amount.