A dramatic 2-1 win over Craig Levein's side gave the Welsh team their first victory in the World Cup qualifiers, and the forward says the squad were confident they could win
Two late goals from Gareth Bale helped Chris Coleman secure his first victory as Wales manager since taking over in January, after opening their qualifying campaign with heavy defeats to Belgium and Serbia.
Morison told reporters: "We always had the belief. We kept it from the games we had been winning, even though we had lost a few.
"We have a great spirit and a great camp and we enjoy getting together.
"We have always been behind Chris and I think we showed that we are a very good team. I thought we made Scotland look very average."
The 29-year-old, who has scored once in his 19 caps for the Dragons, feels that there is still a long way to go in Group A, indicating that the squad know that a run of consecutive victories could see them back in contention for a qualifying spot.
However, ahead of their trip to Croatia, Morison appreciates that while the win will give the squad a confidence boost, coming away with a respectable result may prove a difficult task.
He added: "I don't think they are ever nice places to go to. They are very, very hard places to go to and get results.
"But going there off the back of a win will make it a little bit easier.
"We have only played three games. There are a lot of games to go. We've got to play everyone again so if we can go on a run, you never know what might happen."
"Everyone is turning up, which is fantastic, and we will carry it on until Tuesday night and hopefully we can put on a good performance in Croatia."