Warburton, a close friend of Burnley manager Sean Dyche following their time working together at Watford, led the Bees to automatic promotion from League One in his first term as boss.
That same season, Dyche took Burnley to the Premier League despite the Clarets being pre-season candidates for relegation on a modest budget.
Warburton told Sky Sports: “What Sean Dyche did with Burnley last year was magnificent.
“Certainly the bottom half was where they were predicted to finish in the table and they had one of the smallest budgets in the Championship last year – and yet they achieved automatic promotion.
“That tells our guys that if they have the belief and the motivation, and the luck because things have to go your way, then you can do okay.”
Brentford are reportedly close to signing former Cardiff and QPR striker Tommy Smith on a one-year deal following a successful trial, but doubt remains of the future of their star midfielder Adam Forshaw.
The League One player of the year has been the subject of two bids from Championship rivals Wigan, managed by former Brentford boss Uwe Rosler, and has been told to stay away from the club’s pre-season preparations while he remains unsettled.
Warburton hopes to keep the former Everton trainee but says the club are open to business if a club meet their valuation of the player.
“If another club wants Adam Forshaw then no problem, but pay our valuation, which we think is realistic,” Warburton said.
“My concern and frustration is when clubs come in with bids that are totally unrealistic – the only consequence of that is a player being unsettled.
“I think that type of behaviour is inappropriate, but if a bid comes in and Adam wants to go then I’m sure business can be done.”
Brentford kick-off their season at home to Charlton on Saturday at 3pm.