Woakes himself was involved at the end, hitting the winning runs as the Bears reached the required total of 203 nine wickets down late on day three, as Warwickshire retained third place in the Division One table with four games to play.
The former England all-rounder says despite there still being room for improvement, it was imperative that the side found a way to get over the line in a tricky chase.
“That chase was always going to be difficult,” he said. “At one stage we were in a position where we could have probably cruised home a little bit easier than we did, but that's the game.
“Pressure builds and situations change, but we got over the line and that's what matters.
"We did bowl well throughout the game as a unit. I thought we could have bowled a little bit better at times but we've got a good unit. We keep coming and we rotate well and bowl in partnerships.
“That is a good sign going into the last five games but there are things we can do better.”
Woakes led from the front with the ball on a pulsating day two, as Sussex returned on 99 for three after much of the opening day was washed out due to rain.
The 37-year-old struck twice in four balls on his way to first innings figures of four for 36, before returning to take two more in the second innings alongside a crucial, unbeaten 23 with the bat to see the Bears to victory.
“I was pleased with the way I bowled,” he added. “I haven't bowled with a red ball really since the start of May so to come in and bowl well was nice.
It is always good to get wickets and, most importantly, big wickets. When you get their top order out it's always a good feeling. I felt in pretty good rhythm.
“We bowled on every day of this match, so the body is a little bit sore, but we rest up and go again next week."
Warwickshire are back at Edgbaston Stadium this week, in another enthralling clash, this time with table-topping Nottinghamshire.
Play gets under way on Thursday 27 August at 11:00am.
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