The last of those came more than two months ago against Crystal Palace, his only Premier League goal at the Boleyn so far.
The Hammers entertain Burnley at Upton Park on Saturday, a club Valenica has good memories of playing against after scoring a bullet header at Turf Moor in the reverse fixture back in October.
And with just two wins in the league in 2015, Valenica says he just wants to help Sam Allardyce's side taste three points once again.
"I feel great now," he told West Ham's official website.
"I’ve had some injuries during the season but now I am back and ready to play. I am looking forward to scoring again – it’s been a while since I scored my last goal and I am desperate to help the team win the game on Saturday by scoring again.
"I remember my goal at Burnley well. It was a good goal on the counter attack. Carl Jenkinson put in a good cross and thankfully I could head it into the goal."
Life in East London couldn't have got off to a better start for the Brazil World Cup star who showed why he is nicknamed 'Superman' when he smashed one of the goals of the season away at Hull City back in September.
The strike, measured at a remarkable 61mph, was voted the goal of the month and is likely to be in the running for the goal of the season award. But those abilities have rarely helped him find the net since.
Some Hammers fans would argue that is largely down to his manager Allardyce's insistence on playing him out on the wing to accommodate his preferred formation of one up front. But it hasn't stopped Valencia catching the eye with his performances, with Chelsea rumoured to be interested in signing him - according to the Daily Mail.