David,
Keith, no, we will not continue to attract them.

Reuters ONS last week,
“The data suggest that the UK is still an attractive country, but its allure for EU migrants has declined considerably over the past couple of years,” she said.
“It’s not all about Brexit: EU net migration was unusually high just before the referendum, and it’s likely that some of the decline would have happened anyway even if the UK had not voted to leave,” she added.
Overall net immigration to Britain should be viewed as broadly stable, the ONS said. The increase in net immigration in 2017 was probably due to an undercount of foreign students in 2016."
https://uk.reuters.com/article/uk-britain-immigration/eu-immigration-to-britain-falls-to-five-year-low-ons-idUKKBN1K60VP