"Yes, I think if we get things right in terms of the preparation and stuff," said Gatland, when asked if the Lions will prevail on their 2017 tour.
"You've always got to believe that when you go somewhere you go there to win.
Gatland: Lions were exceptional
"I know we talk about 2005 [New Zealand] being disappointing, and for us the motivation in 2009 [South Africa] was about respect and getting respect back for that jersey.
"The whole focus on this tour was about delivering the Test series win."
It is 42 years since the Lions won a Test series against the All Blacks, although Gatland believes there could be renewed optimism when 2017 comes around.
The success against the Wallabies was achieved with a crop young players like Leigh Halfpenny, George North, Alex Corbisiero, Sam Warburton, Dan Lydiate and Toby Faletau at the heart of the team.
"If you look at how young this squad is, a lot of them could be around in four years' time," Gatland said.
"If they are playing well enough and you have got four more years' experience on some young heads, some young shoulders, and they are in their late 20s, that potentially makes the Lions squad in four years' time incredibly strong.
Recent Lions series
Lions won 2-1 in South Africa
Lions lost 2-1 in Australia
Lions lost 3-0 in New Zealand
Lions lost 2-1 in South Africa
Lions win 2-1 in Australia
"That is something to be excited about. The amount of interest it has created, I am sure the sponsors are pretty happy and the people who are involved in negotiating things for the future of the Lions."
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