Arsenal secured second spot on the final day of the season, as their win over Aston Villa and Tottenham’s capitulation to Newcastle saw the Gunners move up from third.
It was a surprising end to the campaign given how Spurs have outperformed their rivals throughout the year.
It continued manager Arsene Wenger’s record of never finishing behind them in the league, which was something of a bright spark in an otherwise disappointing season.
Redknapp though insists that they still have lots of work to do in the summer transfer window.
“Arsène Wenger deserves enormous credit for finishing above Tottenham Hotspur in the league, but I know which squad I would rather have,” he told the Telegraph.
“Arsenal need to buy, there is a lot of work to do. They desperately need a new centre-half and another striker to take them forward.”
Chief among Arsenal’s plans this summer will surely be bringing in a world-class striker to boost the squad.
The position has long been one that they have struggled in, having failed to replace Robin van Persie since his move to Manchester United.
It has been an issue again this season, as Olivier Giroud started strongly but faded away and Theo Walcott failed to shine when given a central role.
Who Arsenal will target remains to be seen, with several big clubs also likely to be targeting a centre forward this summer.