In the second half, Harry Kane flicked in a goal from a Christian Ericksen set piece.
"When you look at our points compared to last season and finishing unbeaten at home - we're getting stronger", Kane added.
Kane was the last player to score at White Hart Lane in the 2-1 victory over Manchester United on Sunday and after a great campaign - one which highlights their progression under Mauricio Pochettino - the England global is confident they can win silverware.
Spurs will no longer play at their historic home at White Hart Lane ahead of a move into their new 61,000-seater facility and many have suggested that they will struggle to adapt, much like the Hammers have with the London Stadium.
"It's been an emotional day, but what a finish", Kane said.
Pochettino, who expressed his disappointment after failing to win the title, admitted that he is delighted with his side's achievement this season.
The vast majority of it has centred around the fact that it is Spurs' last match at historic White Hart Lane.
"We've got to believe", Kane said of the transition.
"We were simply trying to find balance, even with some players not in their best position, trying to organise a team to give minutes to people who need minutes and protecting people who needed to be protected".
The Lane was packed to the rafters on an emotional afternoon in north London as Tottenham played their final fixture at the 118-year old stadium.
"It was a ideal performance and we deserved that victory", he said. The fans were fantastic, like all season, the energy and the atmosphere was great.
Mourinho has already lifted the League Cup.
Spurs will finish above United this term for the third time in four seasons and Jose Mourinho's side have little motivation to spoil the farewell party.
"For Manchester United it's more important to win titles than to finish top four". Since Alex Ferguson retired in 2013 after delivering United's last league title, United's net transfer spending has been around 350 million pounds ($450 million).
The times at Tottenham are certainly a changing.
And it is the goals from academy graduate Kane over the last three seasons that have propelled the side up the standings. That's progression from last season and we have to keep it going now.