Nolan has travelled south to have the tests after rejecting a new contract at St James' Park.
Newcastle rejected an offer described as "derisory" for the 28-year-old, who has two years remaining on his existing deal, from the Hammers last week, but their pursuit seems to have taken a step forward.
Neither club was commenting on the matter this lunchtime as a man, whose retention was a priority for manager Alan Pardew this summer, edged closer to the exit door.
The Londoners are understood to have initially offered around £1.5million for the midfielder.
Nolan, who arrived on Tyneside in a £4million switch from the Trotters in January 2009, has been a key figure in Newcastle's Premiership campaign.
Offer To Toon Fans Continues
Due to the amazing response from NU-Mad readers ... we have decided to continue our offer for you to buy "Magpies In Europe" for the amazing price of £5.95. The offer will end July 1st.
A 'THANK YOU' TO FOOTYMAD READERS ...
'MAGPIES IN EUROPE'
FOR £5.99 (inc post)
2010/11 has been NewcastleUtd-Mad's greatest season for page 'hits', and as a thank you to all readers we are giving you the chance (FOR TWO WEEKS ONLY) to purchase "MAGPIES IN EUROPE" for £5.99 (and that includes the postage).
*Normal price is £9.99
OFFER ENDS JULY 1st 2011
Although "Magpies In Europe" will not be launched OFFICIALLY until next season ... if you want a copy it is available NOW from this website ... and ONLY from this website!
FOREWORD BY FAIRS CUP HERO JOHN McNAMEE
Sports Journalist Richie Everson: "At last a book that the fabulous Newcastle United fans can relate to. It's informative, all the facts and figures are there, plus the 120 match reports from all the fixtures ... but it is the articles by the supporters that amazed me.
"I went to many of those games, and this is the only book I can honestly say 'hits the nail on the head'!
"Yes we know the results and the scorers, but some of the facts in this book had me so wrapped up in it I couldn't put it down.
"Was Benny Arentoft cup-tied when he played in the final? Big Wyn and his battle with John McGrath; McFaul scoring a penalty when the crowd had gone home; the trouble in Palermo; it is all amazing stuff.
"I would honestly give this book 10 out of 10."
MAGPIES IN EUROPE
From Antwerp to Zurich
Please include your address in a letter and send a cheque (or postal order) for £5.99 payable to Mr K Fletcher, to:
'MAGPIES IN EUROPE', K Fletcher, 5 Dunelm, Sacriston, Co Durham DH7 6NU.
Or contact: Kevnumad@fsmail.net