The 1985-86 Double team might have had fantastic individual talents like Rush, Dalglish, Molby and Hansen, but there were some unsung heroes in the squad.
Before his injury against Manchester United, Walsh had netted 18 goals in a fruitful partnership with Rush, while Scotland midfielder Kevin MacDonald had also come into his own and sealed a regular place in midfield.
"We were a team and we had players who all made a great contribution," said Gillespie.
"I remember Kenny signing Steve McMahon that season from Aston Villa and he brought some steel to the midfield, but then he picked up an injury and Kevin took his opportunity.
"Kenny paired Kevin alongside Jan Molby and it worked really well for us. Kevin did a heck of a lot of hard work in the midfield for us and was an unsung hero in that team.
"When you think about players who score goals these days, anybody that scores over 10 goals seems to be a superstar and yet we had Walshy, who scored 18 goals but couldn't establish himself as a regular starter in the side.
"I think when you are going to be successful as Liverpool are, you have to have a squad of players who can contribute over the course of the season and that's certainly what we had. We certainly knew the value of what they all gave us."
An undoubted personal highlight for Gillespie was the Anfield win over Birmingham in April 1986.
The defender had already scored twice before the Reds were awarded a penalty and Molby had netted a spot-kick earlier in the game.
The Kop, however, offered no doubt who they wanted to take it as they loudly sang Gillespie's name.
The Scot then stepped up and smashed the ball into the top corner of the net as Anfield cherished a special moment.
"That was just a really nice moment for me and it's not the sort of thing that happens too often, scoring a hat-trick," he said.
"It was very special, although what I was doing in those positions around the opposition penalty area I couldn't tell you!
"You would probably expect me to score a header from a corner or something, but to score twice and then score a penalty was very special.
"I'm just happy that I scored it and I don't know what I would have done had I missed! It was fantastic to hear the crowd singing my name and it was a nice moment.
"It was also an important victory for us to score five goals as it could have gone down to goal difference in the end."
On the topic of goals, it is impossible to reminisce on that time without mentioning Rush.
The striker, who scored two against the Blues in the FA Cup final, totalled 33 goals for the season.
"The partnership with Rushie and Kenny was telepathic," Gillespie finished. "I can remember as a young kid watching a football programme about Kevin Keegan and John Toshack being telepathic, but that partnership between Rush and Dalglish was something really special.
"The fact that Rushie is our all-time leading goalscorer I think says it all. We have had some great players over the years – the likes of Fernando Torres, Luis Suarez and Mohamed Salah – but nobody can get near to Rushie with regards to goalscoring.
"All credit to him because he was a wonderful player."