With ambitions of challenging for an immediate return to the Sky Bet Championship, Rovers travelled to Somerset looking to lay down a marker against their opponents - who were also relegated last season.
Goals from Curtis Main, Harry Forrester and Theo Robinson wrapped up the points for the Scot who believes that the best is yet to come from his team.
Dickov said: "It has got to be the prefect start to a new season. We scored three goals got a clean sheet so that's a fantastic start, but that's all it is.
"A lot of credit has got to go to our supporters who have travelled down and to our players.
"I still feel that the more this group plays the better they will get.
"We wanted to get off to a quick start and we have done that - especially at a difficult place like this."
A cracking early finish from new signing Curtis Main proved a sign of things to come as he dinked past the onrushing Chris Weale in goal for Yeovil.
Doncaster never looked back and Forrester neatly fired home a second when Weale again took leave of his area.
Substitute Robinson compounded Yeovil's misery in the seventh minute of added time when he easily chipped past Weale, who had a second debut to forget for the Glovers.
Yeovil boss Gary Johnson blasted his players' performance, admitting he needs to chastise the group after the below-par showing.
The Londoner, who himself harbours ambitions of returning to the second tier, said: "What we know is we have got plenty of time to put it right.
"We looked very short of where we were even a few days ago. On the day we were second best.
"We had a nice little crowd in and hopefully they will stick with us because we had a decent pre-season, but I didn't recognise the team we put out.
"We have got to chastise them and then pick them up for the next game against Gillingham.
"We always expect better from our players. When we had possession we gave it away and they had a little bit of experience about them and a couple of quality lads up front and they were able to get between us two or three times.
"The disappointing thing is we didn't create any real chances. We are getting to know their personalities, what motivates them and what makes them bring out their best game."