The Foxes sewed up a top-two spot in the Championship with a 2-1 win over Sheffield Wednesday on Friday and defender Morgan described it as probably the best achievement of his career.
"It feels fantastic," Morgan told the Leicester Mercury.
"We did our job on Friday night and we still have six games to go so we just want to concentrate on becoming champions now.
"It is definitely the greatest achievement of my career so far to achieve promotion. It is amazing and something I haven't done before.
"To captain Leicester and do it is even more special."
Leicester now sit nine points clear of second-placed Burnley as they chase their first league title since 1980.
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