The 24-year-old, on a season-long loan from Liverpool, has had an injury-hit campaign but enjoyed his best 90 minutes in a Hammers shirt as they beat Michael Laudrup's men 1-0.
Carroll got the only goal - his second of the season - as he produced the type of form that led him to being an England regular at Euro 2012.
"I think what you probably saw against Swansea was the tip of the iceberg," said Taylor. "Hopefully when Andy gets a good run of games under his belt, he'll start scoring some more goals and prove to be another vital member of the squad for us.
"It's just nice to see him score and I'm sure he'll be happy first and foremost to play 90 minutes but also to score a goal and the winning goal, that's fantastic.
"He gives us a different dimension in terms of the way that we can play and utilise his strengths. He's a very good player, but we need to make sure we keep him fit now. That's imperative from now until the end of the season."