Mending linen sheets

I got some linen sheets from Quince as a present from my dad, and they’ve lasted me pretty well for the last two years as part of a rotation of sheets. Imagine my surprise when I stripped my bed only to discover a row of little holes in the fitted sheet! I was wondering if anybody had tips on how to mend holes in linen sheets, small, smaller than a dime, but probably about 10 of them. Thanks in advance!