Scunthorpe go to Home Park on Saturday in search of a win which will hopefully keep the club in Sky Bet League One.
Hammill believes the side have to go out there and show 'no fear' if they are to come away with the three points.
The 31-year-old spoke to iFollow Iron previewing the Plymouth clash and outlined the importance of ending the season on a high.
He said: "Saturday is going to be massive for us. We have to go out there, show no fear and leave it all on the pitch.
"It's a huge game, nobody wants relegation and we have to show great character, as well as put up a fight and a battle that comes with it."
Last time out, the Iron fell to a narrow 3-2 to already relegated Bradford City at Glanford Park in the final home game of the campaign.
However, despite the result, Hammill says there were still positives to take from the second half after Kyle Wootton and Lee Novak brought United back in contention.
He continued by saying: "The second half was promising, but on the flip side, we can't afford a lapse in concentration. The previous week against Charlton and the 15 minutes against Bradford cost us.
"We know teams will have spells in the game, so we have to be more resolute, and be mentally strong to deal with it and see their periods out.
"On another day, scoring two goals would have been enough to win the game, but that's gone now and we've got a massive 90 minutes ahead of us on Saturday."
Looking ahead to the Plymouth encounter, Hammill believes the Iron are going into a bit of unknown territory, after the Pilgrims recently parted ways with manager Derek Adams following five games without a win.
Kevin Nancekivell has taken temporary charge after Adams left the club following the 5-1 defeat to Accrington last Saturday.
Speaking about that, Hammill stated: "I think it can have two effects.
"It can either rally the players and have a positive impact or it might have a negative impact, but you never know because that's football and each team reacts differently with these situations.
"However, it's not about them on Saturday, it's about us and how we are going to implement the style of play on the game."
The winger went on to explain how the atmosphere will have an impact at Home Park.
He said: "It's going to be one of nervousness. Both sets of fans are going to have one eye on the pitch and one on their phones, but as players, we can't let that effect us.
"We have to focus on our job in hand and do what we have to do in the 90 minutes to win the game. We have to win by all costs and hope other results come in as well."
The Iron have sold over 400 away tickets for the clash, and the midfielder hopes they can send the travelling fans home with something to cheer about.
He continued: "The support will be massive for us. For them to come all that way and support us, we want to be able to send them home happy. We will be doing everything in our path to do that."
Speaking of his final thoughts, Hammill added: "We have to go out there and show the character we've got.
"We have to give everything, show determination, and hopefully come away with the three points."
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