Tumilty said it will be “nice to get a day’s rest and get away from hockey for a few hours” but Sunday’s game against France is crucial for a number of reasons.
The two countries have been swapping places in the world rankings with each result.
Ireland moved back ahead of the French into ninth place and are guaranteed to finish ahead of them at the tournament to earn further points.
A head-to-head victory would also help secure a position that will be key moving forward.
At next year’s EuroHockey championships in London the top six European countries in the world rankings will be seeded and guaranteed a place in the quarter-finals which almost certainly will eventually secure a place in the Olympic qualifiers for LA28.
The countries ranked seven through 12 will have to play-off for the final two places in the last eight.
It is that crucial sixth place that Ireland and France are battling for with the world rankings at the end of the World Cup being used to decide the seedings for EuroHockey.
“I think that will be the motivation for both sides. I know that John-John Dohmen is talking about the rebuilding and building for the future with France, which I fully understand,” said Tumilty.
“But I know Ireland-France games are always competitive. They’re always physical.
“There’ll be an edge to the game on Sunday with probably so much on the line.
“Only one thing that’s important, and that’s winning.”