Here's the full stanza where these lines appear:
"O my Luve is like a red, red rose,
That's newly sprung in June;
O my Luve is like the melodie
That's sweetly play'd in tune.
**As fair art thou, my bonnie lass,
So deep in luve am I;
And I will luve thee still, my dear,
Till a' the seas gang dry.
Till a' the seas gang dry, my dear,
And the rocks melt wi' the sun;
I will luve thee still, my dear,
While the sands o' life shall run.**"