Memphis Depay was Koeman’s top target in the summer transfer window.
Both the Dutch players were top targets for Koeman this summer window but a move failed to materialise for the duo due to the ongoing financial constraints at the club.
Wijnaldum has entered into the final year of his Liverpool contract and Barcelona are aiming to land the midfielder for free by the next summer.
Koeman told Dutch newspaper AD: “Our interest in Wijnaldum was separate [to Lionel Messi’s future]. I think our squad could use some depth, especially when we haven’t got the ball.
“Gini has a great sense of space, he can get to the goal fantastically well from midfield, he could really add something to the team.
“But the financial situation was known by the club, his position was ultimately less of a priority than, for example, the right-back or the striker position.
“We wanted Memphis because he is a great player and because he has qualities that we lacked in my opinion: especially depth in our attack.”
“Most attackers at Barcelona want the ball to their feet. Memphis can be used as a target man, but he can also come deep. He is strong, dynamic, and can play centrally as well as from the left.
“In principle everything was ready, but due to the rules of La Liga we knew that we had to sell a player first. In the end it did not happen. Too bad, but Memphis also knew what the situation was.
“[Trying to sign him in January] is certainly a possibility, yes. I will try, because I would like to have him here. But I cannot estimate now what the financial situation of the club is like in January.”