By around that winter, the Soviets had a front with the Germans in Norway. As much as I know, the Germans didn't have a lot of troops on that front and it seems to me like the Soviet Union would've wanted to expand their influence into Norway.
Edit: to clarify, I mean go far into Norway, to Oslo, for example.
But they did. The Petsamo–Kirkenes Offensive. Here's a couple of quotes from the introduction and epilogue of The Petsamo-Kirkenes Operation: Soviet Breakthrough and Pursuit in the Arctic, October 1944 by Major James F. Gebhardt:
On 7 October 1944, a Soviet combined arms force of 97,000 men of the Karelian Front launched an offensive against the 56,000-man German XIX Mountain Corps, defending in prepared positions on Soviet territory northwest of Murmansk. Assisted by sea, air, and land forces of the Northern Fleet, the Soviet 14th Army defeated the German forces in a three-phased, 24-day operation. Soviet troops captured the Finnish town of Petsamo on 15 October and occupied the Norwegian port of Kirkenes on 25 October.
...
The 45th Rifle Division of the 131st Rifle Corps remained in Kirkenes and assisted the local population in preparing for the coming winter. A Norwegian military mission arrived in Murmansk on 9 November and went to Kirkenes the following day. 1 Over the next several months, small detachments of Norwegian soldiers from England and Sweden arrived in Murmansk and were subordinated to the 14th Army for operations on Norwegian territory. The exiled government of Norway was allowed to send naval vessels into Kirkenes harbor in early December. By the end of January 1945, the number of troops reached 1,350 and, by the war's end in May, 2,735. Soviet forces withdrew from Norwegian territory in October 1945, leaving the border as it had stood since 1807.