The 19-year-old has joined the Mariners on a one-year loan deal and will compete with Ben Kennedy and Adam Pearce for the number one spot.
The Sydney-born custodian has been with Tottenham since 2014, but revealed he had been in talks with the Mariners for a while ahead of his temporary move.
"For me this is an important next step in my career and I'm excited to join the Mariners," Glover said.
"It's been a long time coming because I've been in talks with Paolo (Mariners coach Paul Okon) for a couple of months now and it's great to have everything confirmed.
"It's important to get some first team experience and games under my belt – I've been playing in the under-23's at Tottenham and I think to go on loan now is the next step for me.
"Paolo is willing to give me that opportunity and I want to take that chance with both hands. I worked with Paolo at Young Socceroos level for two years, he is a brilliant coach. His style of play is the way I like to play: playing out from the back, using my feet.
"I've been quite fortunate at Tottenham to spend time with the first team set up over the past two seasons, so I've seen that side of the football world which every kid dreams about. Travelling around Europe, flying to games in private jets – every kid dreams of it and I've been lucky enough to have a little taste.
"Like Hugo [Lloris] and Michel [Vorm] show in the English Premier League they are two fantastic goalkeepers and learning under them has only made me a better goalkeeper so I've improved a lot over the past two years.
"My big aim is to play as many games as I can and help the team do well."
The Mariners kick-off their A-League campaign with a home game against local rivals Newcastle Jets on October 7.