The Scotland international scored his second goal of the season in a narrow 3-2 victory over QPR at the Hawthorns last weekend, to leave the Baggies now sixth in the table with 14 points from seven games.
"We didn’t play well in the second half but we’re glad we got the three points,” Morrison told the club's official website. "It might have looked easy at times but on the pitch QPR caused us a few problems.
"They've got some dangerous players who we were aware of and we just stepped off the gas in the second half. They stepped up their game and caused us problems. They’ve got quality in their side so it was down to that."
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It was their fourth straight victory at home, and Morrison says he is determined to make the Hawthorns a fortress.
"At the start of the season we wanted to make this a tough place to come, and improve on our home form. Last season our away form was tremendous really and our home form was a bit iffy.
"That’s what we wanted to do - and we're doing it. All the hard work is paying off."
The Premier League takes a back seat for a fortnight with players heading to their respective nations on international duty, but Morrison is already looking forward to his club's next game against champions Manchester City.
"Man City is another tough game," Morrison added. "I remember last season we defended like lions against them and after that game it killed us for a bit.
"We couldn't win after that because it took a lot out of us. We're going to have to do the same again and be smart against them."
Despite sitting sixth in the table, Morrison believes that they cannot afford to get complacent, admitting that remaining in the Premier League is the first priority, with anything after that a bonus.
"We're not really changing our ambitions with the size of the club we are," he added.
"Everyone has spent money and it's a tough league. We want to hit that 40-point mark and then look to progress but there is still a long way to go.
"Going back a few years, Hull started really well and nearly got relegated, so we've just got to keep on doing what we're doing and keep winning."