In a refreshingly honest interview with BBC Sport, Trimble admitted that earning selection for the Lions is a long shot but he is refusing to give up hope of achieving the ultimate accolade.
"You do let yourself daydream, you do let it happen. It's not good for you, it's not good for your head!" said Trimble, who is just one cap away from a half century of international appearances.
"It's a lot simpler just thinking about Connacht this weekend but you do let yourself daydream a little.
"And it seems mad - you talk to people out there and they say, 'That guy hasn't got a chance', but you do think, 'Who knows what might happen?'
"But it's not something I'm really thinking about at the minute. I'm trying to concentrate on playing Connacht and performing well any time I do get the chance to get out on the pitch.
"It does seem like a long shot, but who knows?"
Head coach Warren Gatland will name his initial squad in London on April 30 but Trimble insists he won't stop thinking about the Lions until the tour is officially over given the recent turnover of players before and during the southern hemisphere adventures.
Tom Shanklin, Tomas O'Leary, Jerry Flannery and Alan Quinlan all missed out on a trip to South Africa in 2009 despite being picked in Sir Ian McGeechan's chosen few as injury or suspension robbed them of their place among the elite.
James Hook, Mike Blair, Ross Ford and Tom Croft were added to the party after their initial disappointment and there were a whole host of replacements required on the tour itself as well as John Hayes, Tim Payne, Ryan Jones and Gordon D'Arcy answered SOS calls.
"Right up until the last second you think you might have a chance, and even after the squad's announced," added Trimble.
"It was the same for the last Lions tour - there were a lot of people who weren't included at the beginning and then people got injured before the touring party even went out there.
"Even towards the end of the tour there were guys who were going out who wouldn't have been expecting to go out there.
"You always keep your fingers crossed. Stranger things have happened.
"It would be an unbelievable experience. It really would be the pinnacle of anybody's career and I would include myself in that."