The Dalai Lama says Europe risks losing its identity by taking in too many migrants and warned: "Germany cannot become an Arab country."
Tibet's spiritual leader says refugees should only stay temporarily and return home to rebuild their countries when the conflicts have ended.
The Dalai Lama, who has himself lived in exile for over half a century, said: "When we look into the face of every single refugee, especially the children and women, we can feel their suffering.
"A human being who is a bit more fortunate has the duty to help them. On the other hand, there are too many now."
Germany last year took in 1.1 million people fleeing war in Syria, Iraq, Afghanistan and other countries in the Middle East.
In an interview with German newspaper Frankfurter Allgemeine Zeitung, he said: "Europe, for example Germany, cannot become an Arab country. Germany is Germany.
"There are so many that in practice it becomes difficult."
He said "from a moral point of view too, I think the refugees should only be admitted temporarily".
"The goal should be that they return and help rebuild their countries."
The Dalai Lama also said in the interview, conducted in Dharamsala, seat of the Tibetan government-in-exile in northern India, that he hopes to one day return to Tibet.
"Maybe in a few years," said the 80-year-old. "If an opportunity for my return arises, or at least for a short visit, that would be a source of great joy."
Thousands of Tibetans have fled their Himalayan homeland since China sent in troops in 1951, and many have settled in India.
With Europe's worst migrant crisis since World War II peaking for a second consecutive year, the UN refugee agency said some 204,000 people had crossed the Mediterranean to the continent since January.
But it has taken on an ever-more deadly turn with 2,500 drowned so far this year.
Figures released on Tuesday showed that more than a third of the deaths had occurred over the past week, when at least 880 people died in a series of shipwrecks of the Libyan coast, the UN refugee agency said, citing information from survivors.
"I emphasise that that figure is a conservative estimate," UNHCR spokesman William Spindler told reporters, with a number of small children reportedly among the dead.
Spindler said that 2016 "is proving to be particularly deadly," indicating the death toll in the first five months of 2015 stood at 1,855, while the number during the same period in 2014 was 57.
In an sign that France may be taking a more active stance this year on the migrant crisis, Paris authorities were "assessing different sites" for their suitability to host a camp "as soon as possible", Mayor Anne Hidalgo told reporters.
She said the current situation was no longer "tenable", pointing to the example of a makeshift camp that had sprung up in the north of Paris in the past few days where 800 people are living.
The migrant crisis has shown no sign of calming despite an EU deal with Turkey that is aimed at blocking the influx.
But the agreement is at risk of unravelling over a dispute between Brussels and Ankara, with Turkey threatening to walk unless the EU makes good on a visa waiver pledge for Turkish nationals.
On Tuesday, European Commission chief Jean-Claude Juncker warned Turkey's President Recep Tayyip Erdogan to "think twice" before turning his back on the agreement.
While arrivals to Greece have fallen sharply since the deal was signed on March 20, this year's number is still more than double the nearly 92,000 who landed on Europe's shores during the first five months of 2015, according to the International Organisation for Migration.
And although Germany was the main destination for people fleeing war and poverty, with 1.1 million arrivals in 2015, thousands have also flocked to France in recent months.
French authorities have long resisted putting in place an infrastructure for the migrants, up until Tuesday's surprise announcement.
Visibly frustrated, Mayor Hidalgo said she had alerted the relevant state authorities to the situation in Paris several times but was still waiting for a response.
She said the state had not provided sufficient resources to give refugees "a fitting welcome".
"We are going to take things in hand," she added.
Many migrants see France as a springboard to Britain where they believe they will have a better chance at finding work and where some have relatives.
Fearing a new influx, Britain on Tuesday announced increased patrols in the Channel.
The British government has faced heavy criticism after 18 Albanian migrants had to be rescued when their boat started taking on water off the English coast late on Saturday.
"We have seen a small number of migrants trying to use more dangerous routes to get to the UK," a spokesman for Prime Minister David Cameron's office said.
"We take every necessary action to protect our border security and will continue to do so," he added.
High winds, strong currents, a high volume of traffic and low water temperatures all make the Channel a treacherous stretch of water.
The migrant crisis has sharply divided public opinion in Europe, with some welcoming refugees in their homes and others rallying to far-right anti-immigration groups.