Carphone Warehouse and Tullow Oil look set to make their debuts on the FTSE 100 Index of blue chip companies when the latest reshuffle takes place later this month.
Exploration company Tullow Oil, which listed in 1994, is expected to enter the top flight when the FTSE Group carries out its quarterly review in just under two weeks' time.
It failed to qualify for the reserve list in the last reshuffle, but its market value has since grown to more than £3.3 billion.
Carphone Warehouse is also expected to make the list.
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The Footsie reshuffle is based on today's closing share price, which ranks Carphone Warehouse as the 95th biggest listed company in the UK by market capitalisation.