The striker has arrived from River Plate this weekend for his second stint in European football.
It follows several days of speculation about the player, who has long been rumoured to be considering a move to Europe.
Tottenham were said to be interested in the player earlier in the year by the Mirror when they were sourcing possible solutions for the attacking problems.
The Colombian, who has scored 14 goals for his country in 43 games, was linked with Spurs in November of last season with Emmanuel Adebayor and Roberto Soldado again struggling to find the back of the net.
In the end, Harry Kane took the footballing world by storm in the 2014-15 season, smashing a superb 31 goals for Tottenham to make him the highest goalscorer for the club in 23 years.
However, Kane's first league goal wasn't until November, even though he had shone in the Europa League and League Cup, and it still looked essential for the club to be consider bringing in attacking talent in the January transfer window, with Gutierrez one of the solutions proposed by the Mirror.
That proved unnecessary as Kane netted eight times in the league in December and January, hinting that whoever would come in would be playing second fiddle to the Spurs academy star.
Since then, Gutierrez had continued to be linked to Europe, but the Tottenham links have died down. He has now joined Portuguese giants Sporting on a three-year deal, having had brief spell in Turkey earlier in his career.