"I became involved with the challenge because it's for such an important cause," Burke told Liverpoolfc.com.
"We'd just love to get more sponsorship and we're asking people if they can chip in for our three-peak challenge.
"Stephen's passing was a tragic event and everyone at the club just wants to help out.
"I've never done anything like this before but I'm really looking forward to it. I haven't done any particular training for it, but we train here at the Academy every day. I'll be going to the gym when the event draws closer.
"Everyone should donate if possible because it's a great cause and it's important that we take part in the challenge."
In April this year, Steven Gerrard pledged his full support to the fundraiser.
"The club are never going to forget young Stephen and his family," said the skipper.
"Of course the club are going to be there as a support network for his family, moving forward - and so are the players. If there's anything we can do to support that, we're glad to help.
"It was very sad news that touched everyone's heart. We wish the Academy lads well with their project and if there's anything we can do to support it, we're available."
You can donate online or via text; click here to give your sponsorship or text SPAC93, followed by the amount that you want to give, to 70070. For example, if you want to send £5, you text SPAC93 £5 to 70070.