The retired army captain, who uses a walking frame with wheels, set himself the target of walking the 25m around his garden 100 times before his 100th birthday on April 30.
You may donate to Captain Tom Moore's marketing campaign on his Simply Giving web page.
Speaking on GMB, Piers said: "Wouldn't it be nice to see Captain Tom Moore, who served his country in World War Two and has now raised over £4 million for the NHS in a week, knighted for his service to to the country?"
"Just like the awesome campaign Captain Moore has inspired, the Nightingales are a symbol of how people have come together as part of a nationwide effort to prepare - should they be needed now or in the months to come - for the greatest global health emergency in more than a century".
"I'm honoured to be opening the NHS Nightingale Yorkshire and Humber and to get to thank numerous NHS workers directly".
After the British public and then global media found out about Moore's sweet appeal, the donations flooded in.
Amid the coronavirus outbreak, Captain Tom Moore's NHS fundraiser has raised nearly £22 million for NHS charities so far.
Iranian vessels come dangerously close to American military ships: U.S
Puller, the USS Paul Hamilton, the USS Firebolt, the USS Sirocco, the USCGC Wrangell and the USCGC Maui. The U.S. ships involved were the USS Lewis B.
"All of them are so good, so kind, so thoughtful and so efficient that it was certainly nearly brings tears to my eyes when I think how good they are". Getty Images An NHS staff member wipes her eyes as she holds a sign to thank British veteran Captain Tom Moore, at Aintree University Hospital in Liverpool, north-west England on April 16, 2020.
The 99-year-old was shown a pre-recorded message from William, in which he praised the veteran's achievement as "incredible" and "amazing".
A spokesman for Prime Minister Boris Johnson suggested on Thursday that he was looking at ways to reward Moore.
"What I love is he is a 99-year-old war veteran who has been around a long time knows everything", he said.
"We are absolutely floored by what has been achieved but we're so happy, so humbled and so proud", his daughter Hannah Ingram-Moore told the BBC on Thursday.
Captain Tom Moore's collection has achieved the highest amount that has been collected by any individual on JustGiving.
Asked why he believed his fundraiser had struck a chord with so many people, he said: "I think because our National Health Service is good - they do so good for me - I had a broken hip and I had cancer and they treated me magnificently".