The 13-year-old proved age is just a number when rolling back the years to finish second in the Welsh Grand National at Chepstow earlier this month.
Lee said: "I was absolutely thrilled with Alfie Spinner. He came out of the race bouncing, as good as ever. He is definitely 13 years young and not old.
"He is in super order and I imagine we will look at the Grand National Trial at Haydock as the next target.
"It is over three and a half miles and the ground up there has been heavy all season. I can't think that will be changing much over the next few weeks
"I was hugely proud of him and Richard Patrick (conditional jockey) at Chepstow, as they both really showed themselves up well that day.
"Alfie Spinner is a massive ambassador for National Hunt racing. He is a 13-year-old racing with so much zest and enthusiasm, long may it continue."