Pierre Gasly's underperformance pushed Red Bull into action, with Albon getting the nod just 12 races into his F1 career.
Kvyat has explained that his experience in the top team meant that the team did not deem it necessary to trial him again, with all three of the contracted drivers potentially in line to team with Verstappen next year.
"It is not going to change in a next few months. I cannot get too greedy, because it is incredible that I already managed to come back to Formula 1.
"Then already all of you were pushing me to the senior team after a couple of months since I came back. For sure Red Bull has their own plan."
He struggled for form and was dropped from Toro Rosso in 2017, with Gasly stepping up, and spent 2018 as Ferrari's development driver before returning this year, when performances have been vastly improved, including a stunning podium in Germany, just Toro Rosso's second in their F1 history.
"My job doesn't change and my year has been fantastic. I look at that rather than at other things that are a bit more out of my control.
"The decision was Red Bull's, I have to respect it and accept it, so no problems with that.
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