The Jets sent Vesalainen to AHL Manitoba on Thursday.
The Jets recalled Vesalainen from AHL Manitoba on Monday.
Vesalainen tallied a goal and an assist in AHL Manitoba's 5-2 win over San Antonio on Sunday.
Vesalainen was sent down to AHL Manitoba on Friday.
Vesalainen (undisclosed) will dress in Wednesday's preseason matchup with Minnesota.
Vesalainen was involved in a car accident Friday but is OK, Brian Munz of TSN 1290 Winnipeg reports.
Vesalainen will link up with AHL Manitoba for the rest of the 2018-19 campaign in order to make him available for the Jets, Pekka Jalonen of Iltalehti reports.
The Jets assigned Vesalainen to Jokerit of the KHL on Thursday.
Vesalainen was reassigned to AHL Manitoba on Tuesday, Jim Toth of TSN 1290 Winnipeg reports.
Vesalainen appears to be bound for the KHL after Jokerit bought the player's rights from another club, Pekka Jalonen of Iltalehti reports.