Lamoureux earned his first point in six games in Saturday's 5-3 loss to AHL San Jose.
Lamoureux (upper body) was assigned to AHL Tucson on Sunday.
Lamoureux will miss Friday's tilt against Edmonton on Friday with an undisclosed injury, Cole Bagley of KSL Sports reports.
Lamoureux notched an assist, three shots on goal, three hits, two blocked shots and six PIM in Saturday's 6-1 win over the Penguins.
Lamoureux registered an assist in Saturday's 4-3 overtime loss to the Golden Knights.
Lamoureux was recalled from AHL Tucson on Wednesday.
Lamoureux inked a three-year, entry-level deal with Arizona on Wednesday.
Lamoureux was selected 29th overall by the Coyotes in the 2022 NHL Entry Draft on Thursday.