Everton have moved to bring in the 32-year-old ball winner because of the recent departure of long-time stalwart Idrissa Gueye.
Gueye's leaving was not totally unexpected, but even so, it has left the Blues with a big hole in the heart of their midfield engine.
The Senegal star was a key part of David Moyes' team, and indeed many of his numerous predecessors, of course, and so it seemed inevitable that he would need to be replaced.
Everton have plenty of bodies in the middle of the park, with Hayden Hackney having recently joined the currently injured James Garner, Merlin Rohl, Tim Iroegbunam, Carlos Alcarez, Kiernan Dewsbury-Hall, and Harrison Armstrong.
None of those players, though, offers the sort of relentless, energetic ball-winning and defensive screening that Gueye did so well.
Norgaard will hopefully be able to provide that sort of contribution, sitting in front of the Toffees' backline, so enabling the other more attack-minded midfielders to get forward. He can also play in central defence, which gives Moyes another option there, something he is keen on.
While the Danish international will bring plenty of experience and knows the Premier League well, having spent several seasons at Brentford before joining Arsenal last summer, signing another thirty-plus player is probably not a long-term solution for the departing Gueye.
Blues fans might have been hoping for a younger, higher-profile player to be coming to Everton as Gueye's replacement. Several other more notable names were fleetingly linked to the club, but nothing came of them.
This has been a familiar theme of the current transfer window and, unfortunately, of course, so many others before it too.
But while in the past there have been legitimate reasons for this situation with the Toffees struggling desperately in the league, a revolving door of managers, and the often chaotic financial circumstances surrounding former owner Farhad Moshiri dogging the club, things now appear to be in better shape.
Current owners, The Friedkin Group, have stabilized Everton's finances, paid off outstanding debts, and overseen the opening of the new Hill Dickinson Stadium. Then, last summer, they did provide Moyes with a decent transfer kitty, which produced a mixed bag of signings.
However, there are now doubts emerging about how much money is available to the manager, given that debt write-off, last year's spending, the owners' commitments to their other major football club, Serie A's Roma, and a judgement against the Blues following Burnley's legal action, potentially costing upwards of £35 million.
This has led to the club being linked with players who are not exactly exciting or from the top drawer, and do not represent the calibre of talent Toffees supporters would have been hoping to attract under their new wealthy owners.
One possible solution to this financial problem (if there is one) is to sell the club's best and most profitable playing asset. Iliman Ndiaye has been linked with several moves away, and the latest rumour claimed he was close to a move to Saudi Arabia.
Doing so, though, would leave Everton without a footballer whom they would really struggle to replace, even if they got £70-80 million for him.
But unless the owners loosen the purse strings, then it does look more and more likely that Everton will be shopping in the bargain aisle for the remainder of this transfer window.
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