The 20 year old midfielder, a full international has just been released by Birmingham after sigining on last summer, where he only played 45 minutes reserve team football at St. Andrews.
Ingi Højsted came to England on a free transfer from club B36 Tórshavn in May 2001 to join Arsenal but injured prevented the youngster making a break-through at Highbury. At the time he signed for the Gunners he was also attracting interest from top Dutch side PSV.
Ingi will train with the Blues on Friday after training on Thursday as well before a decision is made.