The squad face Celtic this evening, before welcoming Forfar to Rangers Training Centre on Sunday.
Swaby felt she saw a different side the squad in Sunday’s 1-0 victory against Hibs and hopes they can take confidence from recent form.
Speaking to RangersTV she said: “I think if we keep on the same grind and same vibe we have been on it will definitely pay off. We just have to continue to work hard in training and just continue to build that level of play - we never want to settle.
“No matter who we are playing we just want to keep that same intensity and bring it into the next game. We need to make sure we are on top of our recovery and take care of our bodies because the turnaround is really quick.
“Against Hibs, it was a different style of play than what we had seen previously so just being able to adapt was something that was really good to see us do. Especially towards the end of the game where we were able to calm down, keep possession and keep the ball moving.”
The Jamaica international joined Rangers in January and made her debut in the recent 5-0 victory over Spartans.
She added: “The level and intensity has been great, coming back in everybody was super energetic and really happy to be here. I was happy when I came in and saw the level of play so I think it is very fitting for me.
“I was definitely really nervous going into that Spartans game, my heart was racing the whole time but I had played in the friendly against Forfar so that was really helpful to have a bit more game experience with the girls.
“The Spartans game was just about getting that first official game in. It was a good confidence builder and the game was a really good start for me as well.
“Brianna is a great player to play next to, she is from the States so we have similar experience with our playing style so it has been great being able to play with her.”
All the latest from the first team:
TEAM: Read player profiles on every Gers player HERE
TWITTER: Follow our dedicated Women's Twitter account HERE
INSTAGRAM: Follow Rangers Women's team on Instagram HERE
HIGHLIGHTS: Watch highlights of every match HERE
FIXTURES: Rangers upcoming matches and previous results HERE
Watch exclusive interviews, match action, features and more from the Rangers team only on RangersTV
Subscribe Today
Rangers TV Monthly - Standard (£6) - Join now to watch exclusive RangersTV content. (Excluding Live Video, Including Live Audio)
Rangers TV Annual - Standard (£60) - Join now to watch exclusive RangersTV content. (Excluding Live Video, Including Live Audio)
CLICK to subscribe to our official YouTube channel and never miss another video: HERE