Blackburn boss Souness 's side have had a poor Premiership start
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Blackburn have agreed a fee of £2.5m with Tromso for Norway winger Morten Gamst Pedersen.
Gamst Pedersen, 22, will undertake a medical and finalise personal terms in England on Thursday.
He said: "This is one of my childhood dreams coming true. I was very relieved when I got the message. And I don't see anything that can ruin the deal now.
"I hope to establish myself as a regular Premier League player within the next couple of months."
The two clubs agreed on a fee for the winger on Wednesday evening, some of which is dependent on appearances.
Tromso's general manager Bjorn Tore Markussen told Norwegian newspaper
Nordlys: "We are very happy to have come to this agreement.
"Of course it is a shame to lose a player like Morten, but it is good that
Morten can get such a strong wish granted."