Tiago Illori
Harry Kane is currently at the Under-21 European Championship with England.Getty

Tottenham Hotspur starlet Harry Kane has insisted his target next season is to keep improving at White Hart Lane despite reports consistently claiming Manchester United manager Louis van Gaal is keen on bringing him at Old Trafford.

The Mirror is one of several titles to have claimed in recent weeks that Van Gaal is planning a £40m ($63m) for Kane, having decided not to renew Radamel Falcao's loan.

Kane himself recently confirmed that he is aware of and flattered by the rumours of an Old Trafford switch, but claimed he is likely to remain with Mauricio Pochettino's side.

And speaking about his hopes for next season, the PFA Young Player of the Year has made clear his mind is focussed on maintaining his development at White Hart Lane while helping his side build on the positive points of last season - which saw Spurs reach the League Cup final and beat Liverpool to fifth place in the Premier League.

"We have to look to build on this season and make progress – and there is no reason why we can't do that. For myself, I want to keep working hard and keep getting better. I'll set myself targets along the way and try to improve," Kane told the club's official website.

"Some people dread it but once you are into the swing of it, you feel good. I have a feeling this pre-season is going to be tough, but I'm looking forward to it. I find that once I've been away for a couple of weeks I miss the atmosphere of everyone being together."

The 21-year-old striker started the season as the back-up for Roberto Soldado and Emmanuel Adebayor, but ended his breakthrough campaign in the first team with 31 goals from 51 appearances in all competitions.

He has expressed his delight about the season so far while highlighting his brace against Arsenal in the North London derby as a personal highlight.

"(The Arsenal match was) crazy, incredible and one I'll never forget. I think it's been a good season, our form was a little up and down but we've had young players coming through and we've built a platform for next season. Now we have to build on it," Kane said.

"For the club (the highlight) has to be the Arsenal game – scoring two goals in my first North London derby and helping us win it. Then to score on my senior England debut at Wembley was incredible as well."