The 20-year-old has been on the books of the Hammers since the summer of 2014 when he moved from Championship outfit Charlton Athletic.
Poyet, who failed to score a single competitive goal for the Charlton first team, played on loan for Huddersfield Town earlier in the season, but he could not find the target for the Terriers either.
"I had a few chances to score last year, but unfortunately didn’t manage to,” the 20-year-old told West Ham’s official website. “I’ll take a two-yard tap-in or an absolutely disgusting deflection, I don’t care, I’ll take it all day long!"
Poyet seems determined to score his first senior goal, and it can only be good for both the player and for West Ham.
The 20-year-old does not play in a position from where scoring is easy. Moreover, the youngster has not played enough.
The Uruguay Under-20 international has made just two appearances in the Premier League for West Ham so far this season.
Sam Allardyce’s West Ham are currently ninth in the league table with 43 points from 32 matches.