Sleepy creature that might make us do more? (8)

I believe the answer is:

dormouse

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'sleepy creature' is the definition.
'dormouse' can be an answer for 'creature' (dormouse is a kind of creature). I'm not certain of the 'sleepy' bit.

'might make us do more?' is the wordplay.
'might make' indicates anagramming the letters (the letters might make if rearranged).
'us'+'do'+'more'='usdomore'
'usdomore' with letters rearranged gives 'DORMOUSE'.

'that' is the link.

Can you help me to learn more?

(Other definitions for dormouse that I've seen before include "Sleepy guest at the Mad Hatter's tea party" , "Creature in teapot (Alice)" , "Partygoer" , "one falling asleep over tea" , "Animal" .)

I've seen this clue in The Independent.

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