Jarvis was signed for a club-record fee by Hammers boss Sam Allardyce during last summer after Wolves had been relegated from the Barclays Premier League.
The 26-year-old scored his second goal of the season as West Ham ran out 2-0 winners over Wigan on Saturday but said afterwards he is not focusing on trying to add to the one England cap he received in 2011. "I can only do what I do on a Saturday for West Ham," he said.
"As long as I continue performing at a high standard consistently we will have to see what happens but I'm just concentrating on making sure I play well for West Ham week in, week out.
"If I keep performing as I do hopefully they will be watching Andy (Carroll) and I can get in on the act as well.
"I think I'm playing as well and as consistently as I was and I keep playing well and creating chances and get a few goals myself."
The three points earned against struggling Wigan took West Ham back into the top half of the table and Jarvis is pleased with how the season has gone.
"I think we can look at it that we had a fantastic start to the season, really put our stamp on it and it got us right up the league," he added.
"We have been able to try and build on that and get as consistent as possible and I think we have shown in the last month or so that we can do it away from home now."