Sendles-White joined the Robins on a free transfer after being released by Scottish Premiership side Hamilton Academical.
The 21-year-old started his career at QPR, and has also had loan spells with Colchester United and Mansfield.
"I think for sure I need to make an impact," he told BBC Radio Wiltshire.
"Obviously I'm still young, I'm still 21 so it's a lot about learning at this stage. I think for me now I just need to get settled at a club and go from there.
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"You just have to look at the players that have gone on from this club to bigger clubs, and last year they got to the play-off final, so it's obviously a good club."
Swindon Town defender Jamie Sendles-White is hoping for stability after signing for the League One club until the end of the season.