Club career
Norwegian leagues, 2011–2015
Jensen played for Gjelleråsen IF as a young teenager. In January 2011 at age 16, she signed with LSK Kvinner FK. She debuted for the club on 14 April 2012 during the club's 6–0 win over SK Trondheims-Ørn in the Toppserien.
In August 2012, she joined Linderud-Grei in the Norwegian First Division. Jensen made 10 appearances for the club and scored 11 goals. She returned to Lillestrøm for the 2013 season where she made eight appearances before committing to league rival Kolbotn IL. Jensen played three seasons for the club. In 2013, she scored five goals in 12 appearances. The following season, she scored 13 goals in 21 appearances. In 2015, she scored six goals in eight appearances.
VfL Wolfsburg, 2015–2016
At the age of 19, Jensen signed a three-year contract with German club VfL Wolfsburg for the 2015–16 season of the Frauen-Bundesliga. Coach Ralf Kellermann praised her "enormous potential to develop further." On 29 August 2015 she made her competitive debut for Wolfsburg and scored a brace against Jena during the club's season opener, resulting in an 8–0 win.
In June 2016, Wolfsburg sent Jensen on loan to Stabæk for one year, to aid her development with regular first team football. At the end of the season she was allowed to return to Stabæk on a permanent basis, as part of Wolfsburg's transfer deal for Marie Dølvik Markussen.
