The Whites started February having lost just once 11 games but have since suffered consecutive defeats to Gateshead and Harrogate.
It's certainly not helped their survival cause but their boss insists it isn't time for panic stations just yet.
"There’s still a long way to go but we’re making it difficult for ourselves over the last two games because of the results," he told the club's video service.
"Performance wise I’ll never question their effort because it’s always there and you can see that, they keep going and going.
"We’ve got to win six games out of the next 13. Can we do that? We’ve proved since we came in we can win six games.
"We came in to try and keep us up and we’ll keep doing that," he added. "We’ve still got to play teams around us, we’ve got to keep our heads up and keep going."
This weekend sees Dover travel to high-fliers Salford City, something that Hessenthaler feels his side could use to their advantage.
"They’re a good side and we’re not expected to win so maybe the pressure will be off.
"But when you’ve had back-to-back losses you need to bounce back. We’ve just got to keep going."