Kovalenko logged a power-play assist in Saturday's 4-3 loss to Utah.
Kovalenko distributed three assists Thursday in a 4-3 win over St. Louis.
Kovalenko (undisclosed) will be available to play in Tuesday's road game versus the Hurricanes, Sheng Peng of San Jose Hockey Now reports.
Kovalenko (undisclosed) was sent to San Jose from Colorado on Monday, along with Alexandar Georgiev, a 2025 fifth-round pick and a 2026 second-round pick in a swap for Mackenzie Blackwood, Givani Smith and a 2027 fifth-round selection.
Kovalenko (undisclosed) will not be available for Sunday's road matchup with the Devils, according to the NHL media site.
Kovalenko was called up by Colorado on Wednesday.
Kovalenko scored his third goal of the season Friday in a 5-2 loss to Washington.
Kovalenko was recalled from AHL Colorado on Friday,
Kovalenko was reassigned to AHL Colorado on Thursday.
Kovalenko was elevated from AHL Colorado on Monday.