The forward is intrigued by the possibility of playing in Europe and has impressed on a week-long trial with the Scottish champions.
"We'll see. I'd have to consider a lot of things but, definitely, Celtic is a great club," Agudelo told STV. "This kind of move has been on my mind for as long as I can remember playing soccer.
"Going and playing in Europe is what I would like to do. This is, right now, where the best football is being played. I would love to play here."
Bhoys boss Neil Lennon declared: "He has looked very good, we have been very impressed with him. We are hoping he will stay around for a few more days and we can talk with his representatives.
|13/2||Celtic are 13/2 with Bet365 to beat Inverness Caley Thistle 3-0 in the SPL|
Agudelo, who has one year remaining on his current contract with the MLS side, noted that the Scottish supporters might be factor in any decision to move.
"[It's] definitely something I thought of as soon as I heard the word Celtic," he continued. "I know the history. It’s basically a religion for many."
There is a possibility that Agudelo could stay in MLS, however. Sources have told Goal.com that the league is considering giving the young forward a Designated Player deal similar to Brek Shea's at FC Dallas. Agudelo's agent, Ron Waxman, was unavailable for comment.